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Finding the Third Proportional to 4,540 and 5,140

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Solution

The third proportional to 4,540 and 5,140 is: 5,819.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,540 : 5,140 = 5,140 : x
  2. Step 2: Convert to fraction form
    4,540/5,140 = 5,140/x
  3. Step 3: Cross multiply
    4,540x = 5,140 × 5,140
  4. Step 4: Simplify right side
    4,540x = 26,419,600
  5. Step 5: Solve for x
    x = 26,419,600/4,540
  6. Step 6: Final answer
    x = 5,819.30

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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.