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Finding the Third Proportional to 5,414 and 5,878

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Solution

The third proportional to 5,414 and 5,878 is: 6,381.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414 : 5,878 = 5,878 : x
  2. Step 2: Convert to fraction form
    5,414/5,878 = 5,878/x
  3. Step 3: Cross multiply
    5,414x = 5,878 × 5,878
  4. Step 4: Simplify right side
    5,414x = 34,550,884
  5. Step 5: Solve for x
    x = 34,550,884/5,414
  6. Step 6: Final answer
    x = 6,381.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.