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Finding the Third Proportional to 20,080 and 43,738

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Solution

The third proportional to 20,080 and 43,738 is: 95,269.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,080 : 43,738 = 43,738 : x
  2. Step 2: Convert to fraction form
    20,080/43,738 = 43,738/x
  3. Step 3: Cross multiply
    20,080x = 43,738 × 43,738
  4. Step 4: Simplify right side
    20,080x = 1,913,012,644
  5. Step 5: Solve for x
    x = 1,913,012,644/20,080
  6. Step 6: Final answer
    x = 95,269.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.