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Finding the Third Proportional to 3,773.32 and 8,275.64

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Solution

The third proportional to 3,773.32 and 8,275.64 is: 18,150.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.32 : 8,275.64 = 8,275.64 : x
  2. Step 2: Convert to fraction form
    3,773.32/8,275.64 = 8,275.64/x
  3. Step 3: Cross multiply
    3,773.32x = 8,275.64 × 8,275.64
  4. Step 4: Simplify right side
    3,773.32x = 68,486,227.75
  5. Step 5: Solve for x
    x = 68,486,227.75/3,773.32
  6. Step 6: Final answer
    x = 18,150.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.