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Finding the Third Proportional to 6,352.88 and 9,817.31

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Solution

The third proportional to 6,352.88 and 9,817.31 is: 15,171.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,352.88 : 9,817.31 = 9,817.31 : x
  2. Step 2: Convert to fraction form
    6,352.88/9,817.31 = 9,817.31/x
  3. Step 3: Cross multiply
    6,352.88x = 9,817.31 × 9,817.31
  4. Step 4: Simplify right side
    6,352.88x = 96,379,624.72
  5. Step 5: Solve for x
    x = 96,379,624.72/6,352.88
  6. Step 6: Final answer
    x = 15,171.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.