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Finding the Third Proportional to 13,697 and 29,909

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Solution

The third proportional to 13,697 and 29,909 is: 65,309.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,697 : 29,909 = 29,909 : x
  2. Step 2: Convert to fraction form
    13,697/29,909 = 29,909/x
  3. Step 3: Cross multiply
    13,697x = 29,909 × 29,909
  4. Step 4: Simplify right side
    13,697x = 894,548,281
  5. Step 5: Solve for x
    x = 894,548,281/13,697
  6. Step 6: Final answer
    x = 65,309.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.