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Finding the Third Proportional to 5,000 and 5,408

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Solution

The third proportional to 5,000 and 5,408 is: 5,849.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,000 : 5,408 = 5,408 : x
  2. Step 2: Convert to fraction form
    5,000/5,408 = 5,408/x
  3. Step 3: Cross multiply
    5,000x = 5,408 × 5,408
  4. Step 4: Simplify right side
    5,000x = 29,246,464
  5. Step 5: Solve for x
    x = 29,246,464/5,000
  6. Step 6: Final answer
    x = 5,849.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.