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Finding the Third Proportional to 4,077.84 and 6,481.27

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Solution

The third proportional to 4,077.84 and 6,481.27 is: 10,301.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,077.84 : 6,481.27 = 6,481.27 : x
  2. Step 2: Convert to fraction form
    4,077.84/6,481.27 = 6,481.27/x
  3. Step 3: Cross multiply
    4,077.84x = 6,481.27 × 6,481.27
  4. Step 4: Simplify right side
    4,077.84x = 42,006,804.10
  5. Step 5: Solve for x
    x = 42,006,804.10/4,077.84
  6. Step 6: Final answer
    x = 10,301.23

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.