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Finding the Third Proportional to 22,959 and 50,286

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Solution

The third proportional to 22,959 and 50,286 is: 110,139.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,959 : 50,286 = 50,286 : x
  2. Step 2: Convert to fraction form
    22,959/50,286 = 50,286/x
  3. Step 3: Cross multiply
    22,959x = 50,286 × 50,286
  4. Step 4: Simplify right side
    22,959x = 2,528,681,796
  5. Step 5: Solve for x
    x = 2,528,681,796/22,959
  6. Step 6: Final answer
    x = 110,139.02

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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.