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Finding the Third Proportional to 36,438 and 75,984

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Solution

The third proportional to 36,438 and 75,984 is: 158,449.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,438 : 75,984 = 75,984 : x
  2. Step 2: Convert to fraction form
    36,438/75,984 = 75,984/x
  3. Step 3: Cross multiply
    36,438x = 75,984 × 75,984
  4. Step 4: Simplify right side
    36,438x = 5,773,568,256
  5. Step 5: Solve for x
    x = 5,773,568,256/36,438
  6. Step 6: Final answer
    x = 158,449.10

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.