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Finding the Third Proportional to 40,960.69 and 61,270.17

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Solution

The third proportional to 40,960.69 and 61,270.17 is: 91,649.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,960.69 : 61,270.17 = 61,270.17 : x
  2. Step 2: Convert to fraction form
    40,960.69/61,270.17 = 61,270.17/x
  3. Step 3: Cross multiply
    40,960.69x = 61,270.17 × 61,270.17
  4. Step 4: Simplify right side
    40,960.69x = 3,754,033,961.59
  5. Step 5: Solve for x
    x = 3,754,033,961.59/40,960.69
  6. Step 6: Final answer
    x = 91,649.68

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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.