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Finding the Third Proportional to 31,802 and 48,903

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Solution

The third proportional to 31,802 and 48,903 is: 75,199.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,802 : 48,903 = 48,903 : x
  2. Step 2: Convert to fraction form
    31,802/48,903 = 48,903/x
  3. Step 3: Cross multiply
    31,802x = 48,903 × 48,903
  4. Step 4: Simplify right side
    31,802x = 2,391,503,409
  5. Step 5: Solve for x
    x = 2,391,503,409/31,802
  6. Step 6: Final answer
    x = 75,199.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.