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Finding the Third Proportional to 24,981 and 54,870

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Solution

The third proportional to 24,981 and 54,870 is: 120,520.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,981 : 54,870 = 54,870 : x
  2. Step 2: Convert to fraction form
    24,981/54,870 = 54,870/x
  3. Step 3: Cross multiply
    24,981x = 54,870 × 54,870
  4. Step 4: Simplify right side
    24,981x = 3,010,716,900
  5. Step 5: Solve for x
    x = 3,010,716,900/24,981
  6. Step 6: Final answer
    x = 120,520.27

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.