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Finding the Third Proportional to 31,899 and 65,391

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Solution

The third proportional to 31,899 and 65,391 is: 134,047.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,899 : 65,391 = 65,391 : x
  2. Step 2: Convert to fraction form
    31,899/65,391 = 65,391/x
  3. Step 3: Cross multiply
    31,899x = 65,391 × 65,391
  4. Step 4: Simplify right side
    31,899x = 4,275,982,881
  5. Step 5: Solve for x
    x = 4,275,982,881/31,899
  6. Step 6: Final answer
    x = 134,047.55

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.