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Finding the Third Proportional to 29,801.75 and 62,028.13

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Solution

The third proportional to 29,801.75 and 62,028.13 is: 129,102.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,801.75 : 62,028.13 = 62,028.13 : x
  2. Step 2: Convert to fraction form
    29,801.75/62,028.13 = 62,028.13/x
  3. Step 3: Cross multiply
    29,801.75x = 62,028.13 × 62,028.13
  4. Step 4: Simplify right side
    29,801.75x = 3,847,488,291.02
  5. Step 5: Solve for x
    x = 3,847,488,291.02/29,801.75
  6. Step 6: Final answer
    x = 129,102.76

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.