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Finding the Third Proportional to 24,957 and 54,763

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Solution

The third proportional to 24,957 and 54,763 is: 120,166.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,957 : 54,763 = 54,763 : x
  2. Step 2: Convert to fraction form
    24,957/54,763 = 54,763/x
  3. Step 3: Cross multiply
    24,957x = 54,763 × 54,763
  4. Step 4: Simplify right side
    24,957x = 2,998,986,169
  5. Step 5: Solve for x
    x = 2,998,986,169/24,957
  6. Step 6: Final answer
    x = 120,166.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.