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Finding the Third Proportional to 22,191 and 48,269

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Solution

The third proportional to 22,191 and 48,269 is: 104,992.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,191 : 48,269 = 48,269 : x
  2. Step 2: Convert to fraction form
    22,191/48,269 = 48,269/x
  3. Step 3: Cross multiply
    22,191x = 48,269 × 48,269
  4. Step 4: Simplify right side
    22,191x = 2,329,896,361
  5. Step 5: Solve for x
    x = 2,329,896,361/22,191
  6. Step 6: Final answer
    x = 104,992.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.