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Finding the Third Proportional to 11,597 and 16,909

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Solution

The third proportional to 11,597 and 16,909 is: 24,654.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,597 : 16,909 = 16,909 : x
  2. Step 2: Convert to fraction form
    11,597/16,909 = 16,909/x
  3. Step 3: Cross multiply
    11,597x = 16,909 × 16,909
  4. Step 4: Simplify right side
    11,597x = 285,914,281
  5. Step 5: Solve for x
    x = 285,914,281/11,597
  6. Step 6: Final answer
    x = 24,654.16

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.