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Finding the Third Proportional to 8,325 and 17,952.75

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Solution

The third proportional to 8,325 and 17,952.75 is: 38,714.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,325 : 17,952.75 = 17,952.75 : x
  2. Step 2: Convert to fraction form
    8,325/17,952.75 = 17,952.75/x
  3. Step 3: Cross multiply
    8,325x = 17,952.75 × 17,952.75
  4. Step 4: Simplify right side
    8,325x = 322,301,232.56
  5. Step 5: Solve for x
    x = 322,301,232.56/8,325
  6. Step 6: Final answer
    x = 38,714.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.