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Finding the Third Proportional to 6,586.25 and 15,872.75

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Solution

The third proportional to 6,586.25 and 15,872.75 is: 38,253.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.25 : 15,872.75 = 15,872.75 : x
  2. Step 2: Convert to fraction form
    6,586.25/15,872.75 = 15,872.75/x
  3. Step 3: Cross multiply
    6,586.25x = 15,872.75 × 15,872.75
  4. Step 4: Simplify right side
    6,586.25x = 251,944,192.56
  5. Step 5: Solve for x
    x = 251,944,192.56/6,586.25
  6. Step 6: Final answer
    x = 38,253.06

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.