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Finding the Third Proportional to 22,866 and 50,104.50

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Solution

The third proportional to 22,866 and 50,104.50 is: 109,790.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,866 : 50,104.50 = 50,104.50 : x
  2. Step 2: Convert to fraction form
    22,866/50,104.50 = 50,104.50/x
  3. Step 3: Cross multiply
    22,866x = 50,104.50 × 50,104.50
  4. Step 4: Simplify right side
    22,866x = 2,510,460,920.25
  5. Step 5: Solve for x
    x = 2,510,460,920.25/22,866
  6. Step 6: Final answer
    x = 109,790.12

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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.