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Finding the Third Proportional to 36,971 and 79,471

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Solution

The third proportional to 36,971 and 79,471 is: 170,826.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,971 : 79,471 = 79,471 : x
  2. Step 2: Convert to fraction form
    36,971/79,471 = 79,471/x
  3. Step 3: Cross multiply
    36,971x = 79,471 × 79,471
  4. Step 4: Simplify right side
    36,971x = 6,315,639,841
  5. Step 5: Solve for x
    x = 6,315,639,841/36,971
  6. Step 6: Final answer
    x = 170,826.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.