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Finding the Third Proportional to 22,890 and 50,154

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Solution

The third proportional to 22,890 and 50,154 is: 109,891.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,890 : 50,154 = 50,154 : x
  2. Step 2: Convert to fraction form
    22,890/50,154 = 50,154/x
  3. Step 3: Cross multiply
    22,890x = 50,154 × 50,154
  4. Step 4: Simplify right side
    22,890x = 2,515,423,716
  5. Step 5: Solve for x
    x = 2,515,423,716/22,890
  6. Step 6: Final answer
    x = 109,891.82

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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.