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Finding the Third Proportional to 8,502.50 and 18,371.25

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Solution

The third proportional to 8,502.50 and 18,371.25 is: 39,694.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,502.50 : 18,371.25 = 18,371.25 : x
  2. Step 2: Convert to fraction form
    8,502.50/18,371.25 = 18,371.25/x
  3. Step 3: Cross multiply
    8,502.50x = 18,371.25 × 18,371.25
  4. Step 4: Simplify right side
    8,502.50x = 337,502,826.56
  5. Step 5: Solve for x
    x = 337,502,826.56/8,502.50
  6. Step 6: Final answer
    x = 39,694.54

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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.