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Finding the Third Proportional to 3,412 and 5,382

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Solution

The third proportional to 3,412 and 5,382 is: 8,489.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412 : 5,382 = 5,382 : x
  2. Step 2: Convert to fraction form
    3,412/5,382 = 5,382/x
  3. Step 3: Cross multiply
    3,412x = 5,382 × 5,382
  4. Step 4: Simplify right side
    3,412x = 28,965,924
  5. Step 5: Solve for x
    x = 28,965,924/3,412
  6. Step 6: Final answer
    x = 8,489.43

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.