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Finding the Third Proportional to 2,874.38 and 6,717.09

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Solution

The third proportional to 2,874.38 and 6,717.09 is: 15,697.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.38 : 6,717.09 = 6,717.09 : x
  2. Step 2: Convert to fraction form
    2,874.38/6,717.09 = 6,717.09/x
  3. Step 3: Cross multiply
    2,874.38x = 6,717.09 × 6,717.09
  4. Step 4: Simplify right side
    2,874.38x = 45,119,348.45
  5. Step 5: Solve for x
    x = 45,119,348.45/2,874.38
  6. Step 6: Final answer
    x = 15,697.10

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.