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Finding the Third Proportional to 11,475.63 and 24,328.90

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Solution

The third proportional to 11,475.63 and 24,328.90 is: 51,578.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,475.63 : 24,328.90 = 24,328.90 : x
  2. Step 2: Convert to fraction form
    11,475.63/24,328.90 = 24,328.90/x
  3. Step 3: Cross multiply
    11,475.63x = 24,328.90 × 24,328.90
  4. Step 4: Simplify right side
    11,475.63x = 591,895,299.18
  5. Step 5: Solve for x
    x = 591,895,299.18/11,475.63
  6. Step 6: Final answer
    x = 51,578.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.