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Finding the Third Proportional to 3,372.26 and 7,876.62

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Solution

The third proportional to 3,372.26 and 7,876.62 is: 18,397.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,372.26 : 7,876.62 = 7,876.62 : x
  2. Step 2: Convert to fraction form
    3,372.26/7,876.62 = 7,876.62/x
  3. Step 3: Cross multiply
    3,372.26x = 7,876.62 × 7,876.62
  4. Step 4: Simplify right side
    3,372.26x = 62,041,098.32
  5. Step 5: Solve for x
    x = 62,041,098.32/3,372.26
  6. Step 6: Final answer
    x = 18,397.50

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.