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Finding the Third Proportional to 5,188 and 6,902

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Solution

The third proportional to 5,188 and 6,902 is: 9,182.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188 : 6,902 = 6,902 : x
  2. Step 2: Convert to fraction form
    5,188/6,902 = 6,902/x
  3. Step 3: Cross multiply
    5,188x = 6,902 × 6,902
  4. Step 4: Simplify right side
    5,188x = 47,637,604
  5. Step 5: Solve for x
    x = 47,637,604/5,188
  6. Step 6: Final answer
    x = 9,182.27

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.