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Finding the Third Proportional to 6,864.75 and 18,600.89

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Solution

The third proportional to 6,864.75 and 18,600.89 is: 50,401.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.75 : 18,600.89 = 18,600.89 : x
  2. Step 2: Convert to fraction form
    6,864.75/18,600.89 = 18,600.89/x
  3. Step 3: Cross multiply
    6,864.75x = 18,600.89 × 18,600.89
  4. Step 4: Simplify right side
    6,864.75x = 345,993,132.04
  5. Step 5: Solve for x
    x = 345,993,132.04/6,864.75
  6. Step 6: Final answer
    x = 50,401.42

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.