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Finding the Third Proportional to 24,660 and 38,140.88

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Solution

The third proportional to 24,660 and 38,140.88 is: 58,991.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,660 : 38,140.88 = 38,140.88 : x
  2. Step 2: Convert to fraction form
    24,660/38,140.88 = 38,140.88/x
  3. Step 3: Cross multiply
    24,660x = 38,140.88 × 38,140.88
  4. Step 4: Simplify right side
    24,660x = 1,454,726,345.77
  5. Step 5: Solve for x
    x = 1,454,726,345.77/24,660
  6. Step 6: Final answer
    x = 58,991.34

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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.