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Finding the Third Proportional to 37,518 and 80,058

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Solution

The third proportional to 37,518 and 80,058 is: 170,832.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,518 : 80,058 = 80,058 : x
  2. Step 2: Convert to fraction form
    37,518/80,058 = 80,058/x
  3. Step 3: Cross multiply
    37,518x = 80,058 × 80,058
  4. Step 4: Simplify right side
    37,518x = 6,409,283,364
  5. Step 5: Solve for x
    x = 6,409,283,364/37,518
  6. Step 6: Final answer
    x = 170,832.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.