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Finding the Third Proportional to 1,049.25 and 2,071.31

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Solution

The third proportional to 1,049.25 and 2,071.31 is: 4,088.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.25 : 2,071.31 = 2,071.31 : x
  2. Step 2: Convert to fraction form
    1,049.25/2,071.31 = 2,071.31/x
  3. Step 3: Cross multiply
    1,049.25x = 2,071.31 × 2,071.31
  4. Step 4: Simplify right side
    1,049.25x = 4,290,335.47
  5. Step 5: Solve for x
    x = 4,290,335.47/1,049.25
  6. Step 6: Final answer
    x = 4,088.95

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.