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Finding the Third Proportional to 24,750.75 and 38,359.13

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Solution

The third proportional to 24,750.75 and 38,359.13 is: 59,449.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,750.75 : 38,359.13 = 38,359.13 : x
  2. Step 2: Convert to fraction form
    24,750.75/38,359.13 = 38,359.13/x
  3. Step 3: Cross multiply
    24,750.75x = 38,359.13 × 38,359.13
  4. Step 4: Simplify right side
    24,750.75x = 1,471,422,470.77
  5. Step 5: Solve for x
    x = 1,471,422,470.77/24,750.75
  6. Step 6: Final answer
    x = 59,449.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.