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Finding the Third Proportional to 6,142 and 7,390

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Solution

The third proportional to 6,142 and 7,390 is: 8,891.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142 : 7,390 = 7,390 : x
  2. Step 2: Convert to fraction form
    6,142/7,390 = 7,390/x
  3. Step 3: Cross multiply
    6,142x = 7,390 × 7,390
  4. Step 4: Simplify right side
    6,142x = 54,612,100
  5. Step 5: Solve for x
    x = 54,612,100/6,142
  6. Step 6: Final answer
    x = 8,891.58

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.