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Finding the Third Proportional to 2,964 and 6,882

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Solution

The third proportional to 2,964 and 6,882 is: 15,979.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964 : 6,882 = 6,882 : x
  2. Step 2: Convert to fraction form
    2,964/6,882 = 6,882/x
  3. Step 3: Cross multiply
    2,964x = 6,882 × 6,882
  4. Step 4: Simplify right side
    2,964x = 47,361,924
  5. Step 5: Solve for x
    x = 47,361,924/2,964
  6. Step 6: Final answer
    x = 15,979.06

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.