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Finding the Third Proportional to 27,432 and 39,420

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Solution

The third proportional to 27,432 and 39,420 is: 56,646.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,432 : 39,420 = 39,420 : x
  2. Step 2: Convert to fraction form
    27,432/39,420 = 39,420/x
  3. Step 3: Cross multiply
    27,432x = 39,420 × 39,420
  4. Step 4: Simplify right side
    27,432x = 1,553,936,400
  5. Step 5: Solve for x
    x = 1,553,936,400/27,432
  6. Step 6: Final answer
    x = 56,646.85

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.