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Finding the Third Proportional to 5,599.13 and 13,356.56

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Solution

The third proportional to 5,599.13 and 13,356.56 is: 31,861.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,599.13 : 13,356.56 = 13,356.56 : x
  2. Step 2: Convert to fraction form
    5,599.13/13,356.56 = 13,356.56/x
  3. Step 3: Cross multiply
    5,599.13x = 13,356.56 × 13,356.56
  4. Step 4: Simplify right side
    5,599.13x = 178,397,761.82
  5. Step 5: Solve for x
    x = 178,397,761.82/5,599.13
  6. Step 6: Final answer
    x = 31,861.72

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.