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Finding the Third Proportional to 22,854 and 50,959.50

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Solution

The third proportional to 22,854 and 50,959.50 is: 113,628.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,854 : 50,959.50 = 50,959.50 : x
  2. Step 2: Convert to fraction form
    22,854/50,959.50 = 50,959.50/x
  3. Step 3: Cross multiply
    22,854x = 50,959.50 × 50,959.50
  4. Step 4: Simplify right side
    22,854x = 2,596,870,640.25
  5. Step 5: Solve for x
    x = 2,596,870,640.25/22,854
  6. Step 6: Final answer
    x = 113,628.71

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.