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Finding the Third Proportional to 10,831.22 and 16,174.69

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Solution

The third proportional to 10,831.22 and 16,174.69 is: 24,154.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,831.22 : 16,174.69 = 16,174.69 : x
  2. Step 2: Convert to fraction form
    10,831.22/16,174.69 = 16,174.69/x
  3. Step 3: Cross multiply
    10,831.22x = 16,174.69 × 16,174.69
  4. Step 4: Simplify right side
    10,831.22x = 261,620,515.72
  5. Step 5: Solve for x
    x = 261,620,515.72/10,831.22
  6. Step 6: Final answer
    x = 24,154.30

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.