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Finding the Third Proportional to 5,414 and 6,134

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Solution

The third proportional to 5,414 and 6,134 is: 6,949.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414 : 6,134 = 6,134 : x
  2. Step 2: Convert to fraction form
    5,414/6,134 = 6,134/x
  3. Step 3: Cross multiply
    5,414x = 6,134 × 6,134
  4. Step 4: Simplify right side
    5,414x = 37,625,956
  5. Step 5: Solve for x
    x = 37,625,956/5,414
  6. Step 6: Final answer
    x = 6,949.75

Related Problems

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.