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Finding the Third Proportional to 5,201 and 5,939

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Solution

The third proportional to 5,201 and 5,939 is: 6,781.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201 : 5,939 = 5,939 : x
  2. Step 2: Convert to fraction form
    5,201/5,939 = 5,939/x
  3. Step 3: Cross multiply
    5,201x = 5,939 × 5,939
  4. Step 4: Simplify right side
    5,201x = 35,271,721
  5. Step 5: Solve for x
    x = 35,271,721/5,201
  6. Step 6: Final answer
    x = 6,781.72

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.