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Finding the Third Proportional to 5,182.31 and 7,976.81

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Solution

The third proportional to 5,182.31 and 7,976.81 is: 12,278.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.31 : 7,976.81 = 7,976.81 : x
  2. Step 2: Convert to fraction form
    5,182.31/7,976.81 = 7,976.81/x
  3. Step 3: Cross multiply
    5,182.31x = 7,976.81 × 7,976.81
  4. Step 4: Simplify right side
    5,182.31x = 63,629,537.66
  5. Step 5: Solve for x
    x = 63,629,537.66/5,182.31
  6. Step 6: Final answer
    x = 12,278.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.