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Finding the Third Proportional to 40,290.75 and 76,618.13

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Solution

The third proportional to 40,290.75 and 76,618.13 is: 145,699.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,290.75 : 76,618.13 = 76,618.13 : x
  2. Step 2: Convert to fraction form
    40,290.75/76,618.13 = 76,618.13/x
  3. Step 3: Cross multiply
    40,290.75x = 76,618.13 × 76,618.13
  4. Step 4: Simplify right side
    40,290.75x = 5,870,337,078.52
  5. Step 5: Solve for x
    x = 5,870,337,078.52/40,290.75
  6. Step 6: Final answer
    x = 145,699.37

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These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.