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Finding the Third Proportional to 13,400 and 29,107

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Solution

The third proportional to 13,400 and 29,107 is: 63,225.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,400 : 29,107 = 29,107 : x
  2. Step 2: Convert to fraction form
    13,400/29,107 = 29,107/x
  3. Step 3: Cross multiply
    13,400x = 29,107 × 29,107
  4. Step 4: Simplify right side
    13,400x = 847,217,449
  5. Step 5: Solve for x
    x = 847,217,449/13,400
  6. Step 6: Final answer
    x = 63,225.18

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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.