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Finding the Third Proportional to 3,785.06 and 8,170.31

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Solution

The third proportional to 3,785.06 and 8,170.31 is: 17,636.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.06 : 8,170.31 = 8,170.31 : x
  2. Step 2: Convert to fraction form
    3,785.06/8,170.31 = 8,170.31/x
  3. Step 3: Cross multiply
    3,785.06x = 8,170.31 × 8,170.31
  4. Step 4: Simplify right side
    3,785.06x = 66,754,006.35
  5. Step 5: Solve for x
    x = 66,754,006.35/3,785.06
  6. Step 6: Final answer
    x = 17,636.17

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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.