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Finding the Third Proportional to 8,431.88 and 12,601.13

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Solution

The third proportional to 8,431.88 and 12,601.13 is: 18,831.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.88 : 12,601.13 = 12,601.13 : x
  2. Step 2: Convert to fraction form
    8,431.88/12,601.13 = 12,601.13/x
  3. Step 3: Cross multiply
    8,431.88x = 12,601.13 × 12,601.13
  4. Step 4: Simplify right side
    8,431.88x = 158,788,351.27
  5. Step 5: Solve for x
    x = 158,788,351.27/8,431.88
  6. Step 6: Final answer
    x = 18,831.91

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Why These Related Problems?

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