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Finding the Third Proportional to 3,469.78 and 5,291.06

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Solution

The third proportional to 3,469.78 and 5,291.06 is: 8,068.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.78 : 5,291.06 = 5,291.06 : x
  2. Step 2: Convert to fraction form
    3,469.78/5,291.06 = 5,291.06/x
  3. Step 3: Cross multiply
    3,469.78x = 5,291.06 × 5,291.06
  4. Step 4: Simplify right side
    3,469.78x = 27,995,342.38
  5. Step 5: Solve for x
    x = 27,995,342.38/3,469.78
  6. Step 6: Final answer
    x = 8,068.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.