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Finding the Third Proportional to 6,373.69 and 8,951.13

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Solution

The third proportional to 6,373.69 and 8,951.13 is: 12,570.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,373.69 : 8,951.13 = 8,951.13 : x
  2. Step 2: Convert to fraction form
    6,373.69/8,951.13 = 8,951.13/x
  3. Step 3: Cross multiply
    6,373.69x = 8,951.13 × 8,951.13
  4. Step 4: Simplify right side
    6,373.69x = 80,122,778.63
  5. Step 5: Solve for x
    x = 80,122,778.63/6,373.69
  6. Step 6: Final answer
    x = 12,570.87

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.