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Finding the Third Proportional to 39,944 and 58,472

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Solution

The third proportional to 39,944 and 58,472 is: 85,594.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,944 : 58,472 = 58,472 : x
  2. Step 2: Convert to fraction form
    39,944/58,472 = 58,472/x
  3. Step 3: Cross multiply
    39,944x = 58,472 × 58,472
  4. Step 4: Simplify right side
    39,944x = 3,418,974,784
  5. Step 5: Solve for x
    x = 3,418,974,784/39,944
  6. Step 6: Final answer
    x = 85,594.20

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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.