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Finding the Third Proportional to 2,644.31 and 4,117.92

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Solution

The third proportional to 2,644.31 and 4,117.92 is: 6,412.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.31 : 4,117.92 = 4,117.92 : x
  2. Step 2: Convert to fraction form
    2,644.31/4,117.92 = 4,117.92/x
  3. Step 3: Cross multiply
    2,644.31x = 4,117.92 × 4,117.92
  4. Step 4: Simplify right side
    2,644.31x = 16,957,280.57
  5. Step 5: Solve for x
    x = 16,957,280.57/2,644.31
  6. Step 6: Final answer
    x = 6,412.74

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.