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Finding the Third Proportional to 18,974 and 41,228.50

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Solution

The third proportional to 18,974 and 41,228.50 is: 89,585.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,974 : 41,228.50 = 41,228.50 : x
  2. Step 2: Convert to fraction form
    18,974/41,228.50 = 41,228.50/x
  3. Step 3: Cross multiply
    18,974x = 41,228.50 × 41,228.50
  4. Step 4: Simplify right side
    18,974x = 1,699,789,212.25
  5. Step 5: Solve for x
    x = 1,699,789,212.25/18,974
  6. Step 6: Final answer
    x = 89,585.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.