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Finding the Third Proportional to 2,721.52 and 4,071.73

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Solution

The third proportional to 2,721.52 and 4,071.73 is: 6,091.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,721.52 : 4,071.73 = 4,071.73 : x
  2. Step 2: Convert to fraction form
    2,721.52/4,071.73 = 4,071.73/x
  3. Step 3: Cross multiply
    2,721.52x = 4,071.73 × 4,071.73
  4. Step 4: Simplify right side
    2,721.52x = 16,578,957.20
  5. Step 5: Solve for x
    x = 16,578,957.20/2,721.52
  6. Step 6: Final answer
    x = 6,091.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.