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Finding the Third Proportional to 8,894.13 and 13,951.69

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Solution

The third proportional to 8,894.13 and 13,951.69 is: 21,885.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,894.13 : 13,951.69 = 13,951.69 : x
  2. Step 2: Convert to fraction form
    8,894.13/13,951.69 = 13,951.69/x
  3. Step 3: Cross multiply
    8,894.13x = 13,951.69 × 13,951.69
  4. Step 4: Simplify right side
    8,894.13x = 194,649,584.10
  5. Step 5: Solve for x
    x = 194,649,584.10/8,894.13
  6. Step 6: Final answer
    x = 21,885.19

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.