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Finding the Third Proportional to 40,797 and 61,006.50

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Solution

The third proportional to 40,797 and 61,006.50 is: 91,227.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,797 : 61,006.50 = 61,006.50 : x
  2. Step 2: Convert to fraction form
    40,797/61,006.50 = 61,006.50/x
  3. Step 3: Cross multiply
    40,797x = 61,006.50 × 61,006.50
  4. Step 4: Simplify right side
    40,797x = 3,721,793,042.25
  5. Step 5: Solve for x
    x = 3,721,793,042.25/40,797
  6. Step 6: Final answer
    x = 91,227.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.