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Finding the Third Proportional to 24,952 and 54,926

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Solution

The third proportional to 24,952 and 54,926 is: 120,906.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,952 : 54,926 = 54,926 : x
  2. Step 2: Convert to fraction form
    24,952/54,926 = 54,926/x
  3. Step 3: Cross multiply
    24,952x = 54,926 × 54,926
  4. Step 4: Simplify right side
    24,952x = 3,016,865,476
  5. Step 5: Solve for x
    x = 3,016,865,476/24,952
  6. Step 6: Final answer
    x = 120,906.76

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Why These Related Problems?

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