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Finding the Third Proportional to 38,934 and 61,006.50

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Solution

The third proportional to 38,934 and 61,006.50 is: 95,592.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,934 : 61,006.50 = 61,006.50 : x
  2. Step 2: Convert to fraction form
    38,934/61,006.50 = 61,006.50/x
  3. Step 3: Cross multiply
    38,934x = 61,006.50 × 61,006.50
  4. Step 4: Simplify right side
    38,934x = 3,721,793,042.25
  5. Step 5: Solve for x
    x = 3,721,793,042.25/38,934
  6. Step 6: Final answer
    x = 95,592.36

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.