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Finding the Third Proportional to 4,589 and 10,058

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Solution

The third proportional to 4,589 and 10,058 is: 22,044.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,589 : 10,058 = 10,058 : x
  2. Step 2: Convert to fraction form
    4,589/10,058 = 10,058/x
  3. Step 3: Cross multiply
    4,589x = 10,058 × 10,058
  4. Step 4: Simplify right side
    4,589x = 101,163,364
  5. Step 5: Solve for x
    x = 101,163,364/4,589
  6. Step 6: Final answer
    x = 22,044.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.