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Finding the Third Proportional to 38,451 and 51,738

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Solution

The third proportional to 38,451 and 51,738 is: 69,616.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,451 : 51,738 = 51,738 : x
  2. Step 2: Convert to fraction form
    38,451/51,738 = 51,738/x
  3. Step 3: Cross multiply
    38,451x = 51,738 × 51,738
  4. Step 4: Simplify right side
    38,451x = 2,676,820,644
  5. Step 5: Solve for x
    x = 2,676,820,644/38,451
  6. Step 6: Final answer
    x = 69,616.41

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.