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Finding the Third Proportional to 5,995.27 and 9,063.14

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Solution

The third proportional to 5,995.27 and 9,063.14 is: 13,700.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,995.27 : 9,063.14 = 9,063.14 : x
  2. Step 2: Convert to fraction form
    5,995.27/9,063.14 = 9,063.14/x
  3. Step 3: Cross multiply
    5,995.27x = 9,063.14 × 9,063.14
  4. Step 4: Simplify right side
    5,995.27x = 82,140,517.99
  5. Step 5: Solve for x
    x = 82,140,517.99/5,995.27
  6. Step 6: Final answer
    x = 13,700.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.