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Finding the Third Proportional to 40,931.25 and 61,144.13

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Solution

The third proportional to 40,931.25 and 61,144.13 is: 91,338.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,931.25 : 61,144.13 = 61,144.13 : x
  2. Step 2: Convert to fraction form
    40,931.25/61,144.13 = 61,144.13/x
  3. Step 3: Cross multiply
    40,931.25x = 61,144.13 × 61,144.13
  4. Step 4: Simplify right side
    40,931.25x = 3,738,604,022.02
  5. Step 5: Solve for x
    x = 3,738,604,022.02/40,931.25
  6. Step 6: Final answer
    x = 91,338.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.