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Finding the Third Proportional to 13,220 and 29,069

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Solution

The third proportional to 13,220 and 29,069 is: 63,918.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,220 : 29,069 = 29,069 : x
  2. Step 2: Convert to fraction form
    13,220/29,069 = 29,069/x
  3. Step 3: Cross multiply
    13,220x = 29,069 × 29,069
  4. Step 4: Simplify right side
    13,220x = 845,006,761
  5. Step 5: Solve for x
    x = 845,006,761/13,220
  6. Step 6: Final answer
    x = 63,918.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.