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Finding the Third Proportional to 38,734 and 59,613

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Solution

The third proportional to 38,734 and 59,613 is: 91,746.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,734 : 59,613 = 59,613 : x
  2. Step 2: Convert to fraction form
    38,734/59,613 = 59,613/x
  3. Step 3: Cross multiply
    38,734x = 59,613 × 59,613
  4. Step 4: Simplify right side
    38,734x = 3,553,709,769
  5. Step 5: Solve for x
    x = 3,553,709,769/38,734
  6. Step 6: Final answer
    x = 91,746.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.