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Finding the Third Proportional to 13,669 and 29,605

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Solution

The third proportional to 13,669 and 29,605 is: 64,119.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,669 : 29,605 = 29,605 : x
  2. Step 2: Convert to fraction form
    13,669/29,605 = 29,605/x
  3. Step 3: Cross multiply
    13,669x = 29,605 × 29,605
  4. Step 4: Simplify right side
    13,669x = 876,456,025
  5. Step 5: Solve for x
    x = 876,456,025/13,669
  6. Step 6: Final answer
    x = 64,119.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.