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Finding the Third Proportional to 11,549.25 and 24,161.63

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Solution

The third proportional to 11,549.25 and 24,161.63 is: 50,547.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,549.25 : 24,161.63 = 24,161.63 : x
  2. Step 2: Convert to fraction form
    11,549.25/24,161.63 = 24,161.63/x
  3. Step 3: Cross multiply
    11,549.25x = 24,161.63 × 24,161.63
  4. Step 4: Simplify right side
    11,549.25x = 583,784,122.64
  5. Step 5: Solve for x
    x = 583,784,122.64/11,549.25
  6. Step 6: Final answer
    x = 50,547.36

Related Problems

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.