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Finding the Third Proportional to 6,882.75 and 15,276.38

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Solution

The third proportional to 6,882.75 and 15,276.38 is: 33,906.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,882.75 : 15,276.38 = 15,276.38 : x
  2. Step 2: Convert to fraction form
    6,882.75/15,276.38 = 15,276.38/x
  3. Step 3: Cross multiply
    6,882.75x = 15,276.38 × 15,276.38
  4. Step 4: Simplify right side
    6,882.75x = 233,367,633.14
  5. Step 5: Solve for x
    x = 233,367,633.14/6,882.75
  6. Step 6: Final answer
    x = 33,906.16

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.