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Finding the Third Proportional to 23,774 and 51,058

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Solution

The third proportional to 23,774 and 51,058 is: 109,654.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,774 : 51,058 = 51,058 : x
  2. Step 2: Convert to fraction form
    23,774/51,058 = 51,058/x
  3. Step 3: Cross multiply
    23,774x = 51,058 × 51,058
  4. Step 4: Simplify right side
    23,774x = 2,606,919,364
  5. Step 5: Solve for x
    x = 2,606,919,364/23,774
  6. Step 6: Final answer
    x = 109,654.22

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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.