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Finding the Third Proportional to 9,163.76 and 15,289.07

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Solution

The third proportional to 9,163.76 and 15,289.07 is: 25,508.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,163.76 : 15,289.07 = 15,289.07 : x
  2. Step 2: Convert to fraction form
    9,163.76/15,289.07 = 15,289.07/x
  3. Step 3: Cross multiply
    9,163.76x = 15,289.07 × 15,289.07
  4. Step 4: Simplify right side
    9,163.76x = 233,755,551.57
  5. Step 5: Solve for x
    x = 233,755,551.57/9,163.76
  6. Step 6: Final answer
    x = 25,508.70

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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.