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Finding the Third Proportional to 6,191.44 and 9,592.17

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Solution

The third proportional to 6,191.44 and 9,592.17 is: 14,860.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,191.44 : 9,592.17 = 9,592.17 : x
  2. Step 2: Convert to fraction form
    6,191.44/9,592.17 = 9,592.17/x
  3. Step 3: Cross multiply
    6,191.44x = 9,592.17 × 9,592.17
  4. Step 4: Simplify right side
    6,191.44x = 92,009,761.28
  5. Step 5: Solve for x
    x = 92,009,761.28/6,191.44
  6. Step 6: Final answer
    x = 14,860.81

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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.