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Finding the Third Proportional to 8,182.50 and 17,660

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Solution

The third proportional to 8,182.50 and 17,660 is: 38,114.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.50 : 17,660 = 17,660 : x
  2. Step 2: Convert to fraction form
    8,182.50/17,660 = 17,660/x
  3. Step 3: Cross multiply
    8,182.50x = 17,660 × 17,660
  4. Step 4: Simplify right side
    8,182.50x = 311,875,600
  5. Step 5: Solve for x
    x = 311,875,600/8,182.50
  6. Step 6: Final answer
    x = 38,114.95

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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.