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Finding the Third Proportional to 6,451.17 and 9,084.80

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Solution

The third proportional to 6,451.17 and 9,084.80 is: 12,793.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,451.17 : 9,084.80 = 9,084.80 : x
  2. Step 2: Convert to fraction form
    6,451.17/9,084.80 = 9,084.80/x
  3. Step 3: Cross multiply
    6,451.17x = 9,084.80 × 9,084.80
  4. Step 4: Simplify right side
    6,451.17x = 82,533,534.26
  5. Step 5: Solve for x
    x = 82,533,534.26/6,451.17
  6. Step 6: Final answer
    x = 12,793.57

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.