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Finding the Third Proportional to 3,701.06 and 7,951.13

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Solution

The third proportional to 3,701.06 and 7,951.13 is: 17,081.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,701.06 : 7,951.13 = 7,951.13 : x
  2. Step 2: Convert to fraction form
    3,701.06/7,951.13 = 7,951.13/x
  3. Step 3: Cross multiply
    3,701.06x = 7,951.13 × 7,951.13
  4. Step 4: Simplify right side
    3,701.06x = 63,220,388.77
  5. Step 5: Solve for x
    x = 63,220,388.77/3,701.06
  6. Step 6: Final answer
    x = 17,081.69

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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.