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Finding the Third Proportional to 4,080.38 and 8,753.06

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Solution

The third proportional to 4,080.38 and 8,753.06 is: 18,776.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,080.38 : 8,753.06 = 8,753.06 : x
  2. Step 2: Convert to fraction form
    4,080.38/8,753.06 = 8,753.06/x
  3. Step 3: Cross multiply
    4,080.38x = 8,753.06 × 8,753.06
  4. Step 4: Simplify right side
    4,080.38x = 76,616,103.13
  5. Step 5: Solve for x
    x = 76,616,103.13/4,080.38
  6. Step 6: Final answer
    x = 18,776.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.