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Finding the Third Proportional to 39,414 and 57,654

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Solution

The third proportional to 39,414 and 57,654 is: 84,335.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,414 : 57,654 = 57,654 : x
  2. Step 2: Convert to fraction form
    39,414/57,654 = 57,654/x
  3. Step 3: Cross multiply
    39,414x = 57,654 × 57,654
  4. Step 4: Simplify right side
    39,414x = 3,323,983,716
  5. Step 5: Solve for x
    x = 3,323,983,716/39,414
  6. Step 6: Final answer
    x = 84,335.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.