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Finding the Third Proportional to 29,101.50 and 62,019

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Solution

The third proportional to 29,101.50 and 62,019 is: 132,170.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,101.50 : 62,019 = 62,019 : x
  2. Step 2: Convert to fraction form
    29,101.50/62,019 = 62,019/x
  3. Step 3: Cross multiply
    29,101.50x = 62,019 × 62,019
  4. Step 4: Simplify right side
    29,101.50x = 3,846,356,361
  5. Step 5: Solve for x
    x = 3,846,356,361/29,101.50
  6. Step 6: Final answer
    x = 132,170.38

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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.