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Finding the Third Proportional to 11,244.25 and 24,432.25

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Solution

The third proportional to 11,244.25 and 24,432.25 is: 53,088.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,244.25 : 24,432.25 = 24,432.25 : x
  2. Step 2: Convert to fraction form
    11,244.25/24,432.25 = 24,432.25/x
  3. Step 3: Cross multiply
    11,244.25x = 24,432.25 × 24,432.25
  4. Step 4: Simplify right side
    11,244.25x = 596,934,840.06
  5. Step 5: Solve for x
    x = 596,934,840.06/11,244.25
  6. Step 6: Final answer
    x = 53,088.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.