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Finding the Third Proportional to 9,987 and 15,163.13

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Solution

The third proportional to 9,987 and 15,163.13 is: 23,021.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,987 : 15,163.13 = 15,163.13 : x
  2. Step 2: Convert to fraction form
    9,987/15,163.13 = 15,163.13/x
  3. Step 3: Cross multiply
    9,987x = 15,163.13 × 15,163.13
  4. Step 4: Simplify right side
    9,987x = 229,920,359.77
  5. Step 5: Solve for x
    x = 229,920,359.77/9,987
  6. Step 6: Final answer
    x = 23,021.96

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.