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Finding the Third Proportional to 6,120 and 10,542

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Solution

The third proportional to 6,120 and 10,542 is: 18,159.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,120 : 10,542 = 10,542 : x
  2. Step 2: Convert to fraction form
    6,120/10,542 = 10,542/x
  3. Step 3: Cross multiply
    6,120x = 10,542 × 10,542
  4. Step 4: Simplify right side
    6,120x = 111,133,764
  5. Step 5: Solve for x
    x = 111,133,764/6,120
  6. Step 6: Final answer
    x = 18,159.11

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.