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Finding the Third Proportional to 11,691 and 17,533

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Solution

The third proportional to 11,691 and 17,533 is: 26,294.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,691 : 17,533 = 17,533 : x
  2. Step 2: Convert to fraction form
    11,691/17,533 = 17,533/x
  3. Step 3: Cross multiply
    11,691x = 17,533 × 17,533
  4. Step 4: Simplify right side
    11,691x = 307,406,089
  5. Step 5: Solve for x
    x = 307,406,089/11,691
  6. Step 6: Final answer
    x = 26,294.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.