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Finding the Third Proportional to 11,497 and 18,443

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Solution

The third proportional to 11,497 and 18,443 is: 29,585.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,497 : 18,443 = 18,443 : x
  2. Step 2: Convert to fraction form
    11,497/18,443 = 18,443/x
  3. Step 3: Cross multiply
    11,497x = 18,443 × 18,443
  4. Step 4: Simplify right side
    11,497x = 340,144,249
  5. Step 5: Solve for x
    x = 340,144,249/11,497
  6. Step 6: Final answer
    x = 29,585.48

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.