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Finding the Third Proportional to 3,660 and 8,758.50

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Solution

The third proportional to 3,660 and 8,758.50 is: 20,959.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660 : 8,758.50 = 8,758.50 : x
  2. Step 2: Convert to fraction form
    3,660/8,758.50 = 8,758.50/x
  3. Step 3: Cross multiply
    3,660x = 8,758.50 × 8,758.50
  4. Step 4: Simplify right side
    3,660x = 76,711,322.25
  5. Step 5: Solve for x
    x = 76,711,322.25/3,660
  6. Step 6: Final answer
    x = 20,959.38

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.