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Finding the Third Proportional to 6,197.81 and 9,310.31

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Solution

The third proportional to 6,197.81 and 9,310.31 is: 13,985.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.81 : 9,310.31 = 9,310.31 : x
  2. Step 2: Convert to fraction form
    6,197.81/9,310.31 = 9,310.31/x
  3. Step 3: Cross multiply
    6,197.81x = 9,310.31 × 9,310.31
  4. Step 4: Simplify right side
    6,197.81x = 86,681,918.85
  5. Step 5: Solve for x
    x = 86,681,918.85/6,197.81
  6. Step 6: Final answer
    x = 13,985.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.