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Finding the Third Proportional to 6,593.91 and 10,173.09

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Solution

The third proportional to 6,593.91 and 10,173.09 is: 15,695.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,593.91 : 10,173.09 = 10,173.09 : x
  2. Step 2: Convert to fraction form
    6,593.91/10,173.09 = 10,173.09/x
  3. Step 3: Cross multiply
    6,593.91x = 10,173.09 × 10,173.09
  4. Step 4: Simplify right side
    6,593.91x = 103,491,836.45
  5. Step 5: Solve for x
    x = 103,491,836.45/6,593.91
  6. Step 6: Final answer
    x = 15,695.07

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.