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Finding the Third Proportional to 3,171.66 and 4,735.97

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Solution

The third proportional to 3,171.66 and 4,735.97 is: 7,071.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.66 : 4,735.97 = 4,735.97 : x
  2. Step 2: Convert to fraction form
    3,171.66/4,735.97 = 4,735.97/x
  3. Step 3: Cross multiply
    3,171.66x = 4,735.97 × 4,735.97
  4. Step 4: Simplify right side
    3,171.66x = 22,429,400.00
  5. Step 5: Solve for x
    x = 22,429,400.00/3,171.66
  6. Step 6: Final answer
    x = 7,071.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.