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Finding the Third Proportional to 40,472 and 61,068

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Solution

The third proportional to 40,472 and 61,068 is: 92,145.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,472 : 61,068 = 61,068 : x
  2. Step 2: Convert to fraction form
    40,472/61,068 = 61,068/x
  3. Step 3: Cross multiply
    40,472x = 61,068 × 61,068
  4. Step 4: Simplify right side
    40,472x = 3,729,300,624
  5. Step 5: Solve for x
    x = 3,729,300,624/40,472
  6. Step 6: Final answer
    x = 92,145.20

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.