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Finding the Third Proportional to 5,267 and 11,377

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Solution

The third proportional to 5,267 and 11,377 is: 24,574.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,267 : 11,377 = 11,377 : x
  2. Step 2: Convert to fraction form
    5,267/11,377 = 11,377/x
  3. Step 3: Cross multiply
    5,267x = 11,377 × 11,377
  4. Step 4: Simplify right side
    5,267x = 129,436,129
  5. Step 5: Solve for x
    x = 129,436,129/5,267
  6. Step 6: Final answer
    x = 24,574.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.