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Finding the Third Proportional to 6,593.25 and 12,186.75

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Solution

The third proportional to 6,593.25 and 12,186.75 is: 22,525.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,593.25 : 12,186.75 = 12,186.75 : x
  2. Step 2: Convert to fraction form
    6,593.25/12,186.75 = 12,186.75/x
  3. Step 3: Cross multiply
    6,593.25x = 12,186.75 × 12,186.75
  4. Step 4: Simplify right side
    6,593.25x = 148,516,875.56
  5. Step 5: Solve for x
    x = 148,516,875.56/6,593.25
  6. Step 6: Final answer
    x = 22,525.59

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.