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Finding the Third Proportional to 3,695.06 and 7,982.44

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Solution

The third proportional to 3,695.06 and 7,982.44 is: 17,244.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.06 : 7,982.44 = 7,982.44 : x
  2. Step 2: Convert to fraction form
    3,695.06/7,982.44 = 7,982.44/x
  3. Step 3: Cross multiply
    3,695.06x = 7,982.44 × 7,982.44
  4. Step 4: Simplify right side
    3,695.06x = 63,719,308.44
  5. Step 5: Solve for x
    x = 63,719,308.44/3,695.06
  6. Step 6: Final answer
    x = 17,244.45

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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.