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Finding the Third Proportional to 38,863 and 83,058

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Solution

The third proportional to 38,863 and 83,058 is: 177,511.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,863 : 83,058 = 83,058 : x
  2. Step 2: Convert to fraction form
    38,863/83,058 = 83,058/x
  3. Step 3: Cross multiply
    38,863x = 83,058 × 83,058
  4. Step 4: Simplify right side
    38,863x = 6,898,631,364
  5. Step 5: Solve for x
    x = 6,898,631,364/38,863
  6. Step 6: Final answer
    x = 177,511.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.