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Finding the Third Proportional to 40,031 and 61,990

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Solution

The third proportional to 40,031 and 61,990 is: 95,994.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,031 : 61,990 = 61,990 : x
  2. Step 2: Convert to fraction form
    40,031/61,990 = 61,990/x
  3. Step 3: Cross multiply
    40,031x = 61,990 × 61,990
  4. Step 4: Simplify right side
    40,031x = 3,842,760,100
  5. Step 5: Solve for x
    x = 3,842,760,100/40,031
  6. Step 6: Final answer
    x = 95,994.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.