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Finding the Third Proportional to 39,446 and 53,892

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Solution

The third proportional to 39,446 and 53,892 is: 73,628.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,446 : 53,892 = 53,892 : x
  2. Step 2: Convert to fraction form
    39,446/53,892 = 53,892/x
  3. Step 3: Cross multiply
    39,446x = 53,892 × 53,892
  4. Step 4: Simplify right side
    39,446x = 2,904,347,664
  5. Step 5: Solve for x
    x = 2,904,347,664/39,446
  6. Step 6: Final answer
    x = 73,628.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.