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Finding the Third Proportional to 24,727.57 and 38,264.70

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Solution

The third proportional to 24,727.57 and 38,264.70 is: 59,212.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,727.57 : 38,264.70 = 38,264.70 : x
  2. Step 2: Convert to fraction form
    24,727.57/38,264.70 = 38,264.70/x
  3. Step 3: Cross multiply
    24,727.57x = 38,264.70 × 38,264.70
  4. Step 4: Simplify right side
    24,727.57x = 1,464,186,907.36
  5. Step 5: Solve for x
    x = 1,464,186,907.36/24,727.57
  6. Step 6: Final answer
    x = 59,212.73

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