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Finding the Third Proportional to 12,373.50 and 29,181

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Solution

The third proportional to 12,373.50 and 29,181 is: 68,818.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,373.50 : 29,181 = 29,181 : x
  2. Step 2: Convert to fraction form
    12,373.50/29,181 = 29,181/x
  3. Step 3: Cross multiply
    12,373.50x = 29,181 × 29,181
  4. Step 4: Simplify right side
    12,373.50x = 851,530,761
  5. Step 5: Solve for x
    x = 851,530,761/12,373.50
  6. Step 6: Final answer
    x = 68,818.91

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.