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Finding the Third Proportional to 38,314 and 54,851

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Solution

The third proportional to 38,314 and 54,851 is: 78,525.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,314 : 54,851 = 54,851 : x
  2. Step 2: Convert to fraction form
    38,314/54,851 = 54,851/x
  3. Step 3: Cross multiply
    38,314x = 54,851 × 54,851
  4. Step 4: Simplify right side
    38,314x = 3,008,632,201
  5. Step 5: Solve for x
    x = 3,008,632,201/38,314
  6. Step 6: Final answer
    x = 78,525.66

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.