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Finding the Third Proportional to 3,736.88 and 8,131.88

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Solution

The third proportional to 3,736.88 and 8,131.88 is: 17,695.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,736.88 : 8,131.88 = 8,131.88 : x
  2. Step 2: Convert to fraction form
    3,736.88/8,131.88 = 8,131.88/x
  3. Step 3: Cross multiply
    3,736.88x = 8,131.88 × 8,131.88
  4. Step 4: Simplify right side
    3,736.88x = 66,127,391.02
  5. Step 5: Solve for x
    x = 66,127,391.02/3,736.88
  6. Step 6: Final answer
    x = 17,695.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.