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Finding the Third Proportional to 14,081 and 25,031

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Solution

The third proportional to 14,081 and 25,031 is: 44,496.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,081 : 25,031 = 25,031 : x
  2. Step 2: Convert to fraction form
    14,081/25,031 = 25,031/x
  3. Step 3: Cross multiply
    14,081x = 25,031 × 25,031
  4. Step 4: Simplify right side
    14,081x = 626,550,961
  5. Step 5: Solve for x
    x = 626,550,961/14,081
  6. Step 6: Final answer
    x = 44,496.20

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.