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Finding the Third Proportional to 32,024 and 43,878

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Solution

The third proportional to 32,024 and 43,878 is: 60,119.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,024 : 43,878 = 43,878 : x
  2. Step 2: Convert to fraction form
    32,024/43,878 = 43,878/x
  3. Step 3: Cross multiply
    32,024x = 43,878 × 43,878
  4. Step 4: Simplify right side
    32,024x = 1,925,278,884
  5. Step 5: Solve for x
    x = 1,925,278,884/32,024
  6. Step 6: Final answer
    x = 60,119.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.