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Finding the Third Proportional to 8,703.75 and 15,174.75

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Solution

The third proportional to 8,703.75 and 15,174.75 is: 26,456.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,703.75 : 15,174.75 = 15,174.75 : x
  2. Step 2: Convert to fraction form
    8,703.75/15,174.75 = 15,174.75/x
  3. Step 3: Cross multiply
    8,703.75x = 15,174.75 × 15,174.75
  4. Step 4: Simplify right side
    8,703.75x = 230,273,037.56
  5. Step 5: Solve for x
    x = 230,273,037.56/8,703.75
  6. Step 6: Final answer
    x = 26,456.76

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.