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Finding the Third Proportional to 18,949.50 and 29,727

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Solution

The third proportional to 18,949.50 and 29,727 is: 46,634.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,949.50 : 29,727 = 29,727 : x
  2. Step 2: Convert to fraction form
    18,949.50/29,727 = 29,727/x
  3. Step 3: Cross multiply
    18,949.50x = 29,727 × 29,727
  4. Step 4: Simplify right side
    18,949.50x = 883,694,529
  5. Step 5: Solve for x
    x = 883,694,529/18,949.50
  6. Step 6: Final answer
    x = 46,634.19

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.