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Finding the Third Proportional to 15,778.13 and 34,471.13

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Solution

The third proportional to 15,778.13 and 34,471.13 is: 75,310.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,778.13 : 34,471.13 = 34,471.13 : x
  2. Step 2: Convert to fraction form
    15,778.13/34,471.13 = 34,471.13/x
  3. Step 3: Cross multiply
    15,778.13x = 34,471.13 × 34,471.13
  4. Step 4: Simplify right side
    15,778.13x = 1,188,258,458.77
  5. Step 5: Solve for x
    x = 1,188,258,458.77/15,778.13
  6. Step 6: Final answer
    x = 75,310.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.