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Finding the Third Proportional to 5,209 and 6,882

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Solution

The third proportional to 5,209 and 6,882 is: 9,092.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209 : 6,882 = 6,882 : x
  2. Step 2: Convert to fraction form
    5,209/6,882 = 6,882/x
  3. Step 3: Cross multiply
    5,209x = 6,882 × 6,882
  4. Step 4: Simplify right side
    5,209x = 47,361,924
  5. Step 5: Solve for x
    x = 47,361,924/5,209
  6. Step 6: Final answer
    x = 9,092.33

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.