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Finding the Third Proportional to 11,137 and 24,217

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Solution

The third proportional to 11,137 and 24,217 is: 52,658.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,137 : 24,217 = 24,217 : x
  2. Step 2: Convert to fraction form
    11,137/24,217 = 24,217/x
  3. Step 3: Cross multiply
    11,137x = 24,217 × 24,217
  4. Step 4: Simplify right side
    11,137x = 586,463,089
  5. Step 5: Solve for x
    x = 586,463,089/11,137
  6. Step 6: Final answer
    x = 52,658.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.