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Finding the Third Proportional to 27,007.17 and 40,510.76

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Solution

The third proportional to 27,007.17 and 40,510.76 is: 60,766.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,007.17 : 40,510.76 = 40,510.76 : x
  2. Step 2: Convert to fraction form
    27,007.17/40,510.76 = 40,510.76/x
  3. Step 3: Cross multiply
    27,007.17x = 40,510.76 × 40,510.76
  4. Step 4: Simplify right side
    27,007.17x = 1,641,121,498.54
  5. Step 5: Solve for x
    x = 1,641,121,498.54/27,007.17
  6. Step 6: Final answer
    x = 60,766.14

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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.