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Finding the Third Proportional to 31,291 and 64,799

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Solution

The third proportional to 31,291 and 64,799 is: 134,189.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,291 : 64,799 = 64,799 : x
  2. Step 2: Convert to fraction form
    31,291/64,799 = 64,799/x
  3. Step 3: Cross multiply
    31,291x = 64,799 × 64,799
  4. Step 4: Simplify right side
    31,291x = 4,198,910,401
  5. Step 5: Solve for x
    x = 4,198,910,401/31,291
  6. Step 6: Final answer
    x = 134,189.08

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.