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Finding the Third Proportional to 2,929.50 and 6,882.75

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Solution

The third proportional to 2,929.50 and 6,882.75 is: 16,170.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,929.50 : 6,882.75 = 6,882.75 : x
  2. Step 2: Convert to fraction form
    2,929.50/6,882.75 = 6,882.75/x
  3. Step 3: Cross multiply
    2,929.50x = 6,882.75 × 6,882.75
  4. Step 4: Simplify right side
    2,929.50x = 47,372,247.56
  5. Step 5: Solve for x
    x = 47,372,247.56/2,929.50
  6. Step 6: Final answer
    x = 16,170.76

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.