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Finding the Third Proportional to 5,637 and 6,177

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Solution

The third proportional to 5,637 and 6,177 is: 6,768.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,637 : 6,177 = 6,177 : x
  2. Step 2: Convert to fraction form
    5,637/6,177 = 6,177/x
  3. Step 3: Cross multiply
    5,637x = 6,177 × 6,177
  4. Step 4: Simplify right side
    5,637x = 38,155,329
  5. Step 5: Solve for x
    x = 38,155,329/5,637
  6. Step 6: Final answer
    x = 6,768.73

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.