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Finding the Third Proportional to 17,058 and 36,142

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Solution

The third proportional to 17,058 and 36,142 is: 76,576.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,058 : 36,142 = 36,142 : x
  2. Step 2: Convert to fraction form
    17,058/36,142 = 36,142/x
  3. Step 3: Cross multiply
    17,058x = 36,142 × 36,142
  4. Step 4: Simplify right side
    17,058x = 1,306,244,164
  5. Step 5: Solve for x
    x = 1,306,244,164/17,058
  6. Step 6: Final answer
    x = 76,576.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.