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Finding the Third Proportional to 24,557 and 52,698

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Solution

The third proportional to 24,557 and 52,698 is: 113,087.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,557 : 52,698 = 52,698 : x
  2. Step 2: Convert to fraction form
    24,557/52,698 = 52,698/x
  3. Step 3: Cross multiply
    24,557x = 52,698 × 52,698
  4. Step 4: Simplify right side
    24,557x = 2,777,079,204
  5. Step 5: Solve for x
    x = 2,777,079,204/24,557
  6. Step 6: Final answer
    x = 113,087.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.