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Finding the Third Proportional to 19,589 and 46,233

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Solution

The third proportional to 19,589 and 46,233 is: 109,116.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,589 : 46,233 = 46,233 : x
  2. Step 2: Convert to fraction form
    19,589/46,233 = 46,233/x
  3. Step 3: Cross multiply
    19,589x = 46,233 × 46,233
  4. Step 4: Simplify right side
    19,589x = 2,137,490,289
  5. Step 5: Solve for x
    x = 2,137,490,289/19,589
  6. Step 6: Final answer
    x = 109,116.87

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.