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Finding the Third Proportional to 11,387 and 17,567

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Solution

The third proportional to 11,387 and 17,567 is: 27,101.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,387 : 17,567 = 17,567 : x
  2. Step 2: Convert to fraction form
    11,387/17,567 = 17,567/x
  3. Step 3: Cross multiply
    11,387x = 17,567 × 17,567
  4. Step 4: Simplify right side
    11,387x = 308,599,489
  5. Step 5: Solve for x
    x = 308,599,489/11,387
  6. Step 6: Final answer
    x = 27,101.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.