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Finding the Third Proportional to 5,222 and 6,338

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Solution

The third proportional to 5,222 and 6,338 is: 7,692.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222 : 6,338 = 6,338 : x
  2. Step 2: Convert to fraction form
    5,222/6,338 = 6,338/x
  3. Step 3: Cross multiply
    5,222x = 6,338 × 6,338
  4. Step 4: Simplify right side
    5,222x = 40,170,244
  5. Step 5: Solve for x
    x = 40,170,244/5,222
  6. Step 6: Final answer
    x = 7,692.50

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.