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Finding the Third Proportional to 3,486 and 5,468

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Solution

The third proportional to 3,486 and 5,468 is: 8,576.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486 : 5,468 = 5,468 : x
  2. Step 2: Convert to fraction form
    3,486/5,468 = 5,468/x
  3. Step 3: Cross multiply
    3,486x = 5,468 × 5,468
  4. Step 4: Simplify right side
    3,486x = 29,899,024
  5. Step 5: Solve for x
    x = 29,899,024/3,486
  6. Step 6: Final answer
    x = 8,576.89

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.