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Finding the Third Proportional to 27,012.87 and 40,510.76

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Solution

The third proportional to 27,012.87 and 40,510.76 is: 60,753.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,012.87 : 40,510.76 = 40,510.76 : x
  2. Step 2: Convert to fraction form
    27,012.87/40,510.76 = 40,510.76/x
  3. Step 3: Cross multiply
    27,012.87x = 40,510.76 × 40,510.76
  4. Step 4: Simplify right side
    27,012.87x = 1,641,121,498.54
  5. Step 5: Solve for x
    x = 1,641,121,498.54/27,012.87
  6. Step 6: Final answer
    x = 60,753.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.