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Finding the Third Proportional to 5,599.92 and 8,137.18

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Solution

The third proportional to 5,599.92 and 8,137.18 is: 11,824.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,599.92 : 8,137.18 = 8,137.18 : x
  2. Step 2: Convert to fraction form
    5,599.92/8,137.18 = 8,137.18/x
  3. Step 3: Cross multiply
    5,599.92x = 8,137.18 × 8,137.18
  4. Step 4: Simplify right side
    5,599.92x = 66,213,661.48
  5. Step 5: Solve for x
    x = 66,213,661.48/5,599.92
  6. Step 6: Final answer
    x = 11,824.05

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.