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Finding the Third Proportional to 24,557 and 50,147

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Solution

The third proportional to 24,557 and 50,147 is: 102,403.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,557 : 50,147 = 50,147 : x
  2. Step 2: Convert to fraction form
    24,557/50,147 = 50,147/x
  3. Step 3: Cross multiply
    24,557x = 50,147 × 50,147
  4. Step 4: Simplify right side
    24,557x = 2,514,721,609
  5. Step 5: Solve for x
    x = 2,514,721,609/24,557
  6. Step 6: Final answer
    x = 102,403.45

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.