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Finding the Third Proportional to 3,486 and 5,853

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Solution

The third proportional to 3,486 and 5,853 is: 9,827.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486 : 5,853 = 5,853 : x
  2. Step 2: Convert to fraction form
    3,486/5,853 = 5,853/x
  3. Step 3: Cross multiply
    3,486x = 5,853 × 5,853
  4. Step 4: Simplify right side
    3,486x = 34,257,609
  5. Step 5: Solve for x
    x = 34,257,609/3,486
  6. Step 6: Final answer
    x = 9,827.20

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.