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Finding the Third Proportional to 2,275.31 and 4,976.44

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Solution

The third proportional to 2,275.31 and 4,976.44 is: 10,884.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.31 : 4,976.44 = 4,976.44 : x
  2. Step 2: Convert to fraction form
    2,275.31/4,976.44 = 4,976.44/x
  3. Step 3: Cross multiply
    2,275.31x = 4,976.44 × 4,976.44
  4. Step 4: Simplify right side
    2,275.31x = 24,764,930.19
  5. Step 5: Solve for x
    x = 24,764,930.19/2,275.31
  6. Step 6: Final answer
    x = 10,884.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.