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Finding the Third Proportional to 6,593.91 and 8,949.23

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Solution

The third proportional to 6,593.91 and 8,949.23 is: 12,145.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,593.91 : 8,949.23 = 8,949.23 : x
  2. Step 2: Convert to fraction form
    6,593.91/8,949.23 = 8,949.23/x
  3. Step 3: Cross multiply
    6,593.91x = 8,949.23 × 8,949.23
  4. Step 4: Simplify right side
    6,593.91x = 80,088,795.90
  5. Step 5: Solve for x
    x = 80,088,795.90/6,593.91
  6. Step 6: Final answer
    x = 12,145.88

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.