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Finding the Third Proportional to 5,680.13 and 10,330.88

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Solution

The third proportional to 5,680.13 and 10,330.88 is: 18,789.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,680.13 : 10,330.88 = 10,330.88 : x
  2. Step 2: Convert to fraction form
    5,680.13/10,330.88 = 10,330.88/x
  3. Step 3: Cross multiply
    5,680.13x = 10,330.88 × 10,330.88
  4. Step 4: Simplify right side
    5,680.13x = 106,726,978.27
  5. Step 5: Solve for x
    x = 106,726,978.27/5,680.13
  6. Step 6: Final answer
    x = 18,789.55

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Why These Related Problems?

These problems maintain the same ratio (1.82) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.