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Finding the Third Proportional to 3,708 and 8,385.75

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Solution

The third proportional to 3,708 and 8,385.75 is: 18,964.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,708 : 8,385.75 = 8,385.75 : x
  2. Step 2: Convert to fraction form
    3,708/8,385.75 = 8,385.75/x
  3. Step 3: Cross multiply
    3,708x = 8,385.75 × 8,385.75
  4. Step 4: Simplify right side
    3,708x = 70,320,803.06
  5. Step 5: Solve for x
    x = 70,320,803.06/3,708
  6. Step 6: Final answer
    x = 18,964.62

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.