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Finding the Third Proportional to 5,920.13 and 9,865.88

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Solution

The third proportional to 5,920.13 and 9,865.88 is: 16,441.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,920.13 : 9,865.88 = 9,865.88 : x
  2. Step 2: Convert to fraction form
    5,920.13/9,865.88 = 9,865.88/x
  3. Step 3: Cross multiply
    5,920.13x = 9,865.88 × 9,865.88
  4. Step 4: Simplify right side
    5,920.13x = 97,335,489.52
  5. Step 5: Solve for x
    x = 97,335,489.52/5,920.13
  6. Step 6: Final answer
    x = 16,441.46

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.