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Finding the Third Proportional to 37,077 and 79,983

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Solution

The third proportional to 37,077 and 79,983 is: 172,540.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,077 : 79,983 = 79,983 : x
  2. Step 2: Convert to fraction form
    37,077/79,983 = 79,983/x
  3. Step 3: Cross multiply
    37,077x = 79,983 × 79,983
  4. Step 4: Simplify right side
    37,077x = 6,397,280,289
  5. Step 5: Solve for x
    x = 6,397,280,289/37,077
  6. Step 6: Final answer
    x = 172,540.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.