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Finding the Third Proportional to 29,100 and 62,015

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Solution

The third proportional to 29,100 and 62,015 is: 132,160.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,100 : 62,015 = 62,015 : x
  2. Step 2: Convert to fraction form
    29,100/62,015 = 62,015/x
  3. Step 3: Cross multiply
    29,100x = 62,015 × 62,015
  4. Step 4: Simplify right side
    29,100x = 3,845,860,225
  5. Step 5: Solve for x
    x = 3,845,860,225/29,100
  6. Step 6: Final answer
    x = 132,160.15

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.