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Finding the Third Proportional to 2,209.78 and 3,758.91

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Solution

The third proportional to 2,209.78 and 3,758.91 is: 6,394.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.78 : 3,758.91 = 3,758.91 : x
  2. Step 2: Convert to fraction form
    2,209.78/3,758.91 = 3,758.91/x
  3. Step 3: Cross multiply
    2,209.78x = 3,758.91 × 3,758.91
  4. Step 4: Simplify right side
    2,209.78x = 14,129,376.20
  5. Step 5: Solve for x
    x = 14,129,376.20/2,209.78
  6. Step 6: Final answer
    x = 6,394.02

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.