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Finding the Third Proportional to 22,992 and 50,289

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Solution

The third proportional to 22,992 and 50,289 is: 109,994.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,992 : 50,289 = 50,289 : x
  2. Step 2: Convert to fraction form
    22,992/50,289 = 50,289/x
  3. Step 3: Cross multiply
    22,992x = 50,289 × 50,289
  4. Step 4: Simplify right side
    22,992x = 2,528,983,521
  5. Step 5: Solve for x
    x = 2,528,983,521/22,992
  6. Step 6: Final answer
    x = 109,994.06

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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.