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Finding the Third Proportional to 23,002.13 and 34,618.31

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Solution

The third proportional to 23,002.13 and 34,618.31 is: 52,100.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,002.13 : 34,618.31 = 34,618.31 : x
  2. Step 2: Convert to fraction form
    23,002.13/34,618.31 = 34,618.31/x
  3. Step 3: Cross multiply
    23,002.13x = 34,618.31 × 34,618.31
  4. Step 4: Simplify right side
    23,002.13x = 1,198,427,560.35
  5. Step 5: Solve for x
    x = 1,198,427,560.35/23,002.13
  6. Step 6: Final answer
    x = 52,100.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.