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Finding the Third Proportional to 4,869 and 7,542

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Solution

The third proportional to 4,869 and 7,542 is: 11,682.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,869 : 7,542 = 7,542 : x
  2. Step 2: Convert to fraction form
    4,869/7,542 = 7,542/x
  3. Step 3: Cross multiply
    4,869x = 7,542 × 7,542
  4. Step 4: Simplify right side
    4,869x = 56,881,764
  5. Step 5: Solve for x
    x = 56,881,764/4,869
  6. Step 6: Final answer
    x = 11,682.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.