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Finding the Third Proportional to 5,222 and 7,802

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Solution

The third proportional to 5,222 and 7,802 is: 11,656.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222 : 7,802 = 7,802 : x
  2. Step 2: Convert to fraction form
    5,222/7,802 = 7,802/x
  3. Step 3: Cross multiply
    5,222x = 7,802 × 7,802
  4. Step 4: Simplify right side
    5,222x = 60,871,204
  5. Step 5: Solve for x
    x = 60,871,204/5,222
  6. Step 6: Final answer
    x = 11,656.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.