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Finding the Third Proportional to 29,265.75 and 62,177.63

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Solution

The third proportional to 29,265.75 and 62,177.63 is: 132,101.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,265.75 : 62,177.63 = 62,177.63 : x
  2. Step 2: Convert to fraction form
    29,265.75/62,177.63 = 62,177.63/x
  3. Step 3: Cross multiply
    29,265.75x = 62,177.63 × 62,177.63
  4. Step 4: Simplify right side
    29,265.75x = 3,866,057,050.64
  5. Step 5: Solve for x
    x = 3,866,057,050.64/29,265.75
  6. Step 6: Final answer
    x = 132,101.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.