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Finding the Third Proportional to 22,419 and 49,191

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Solution

The third proportional to 22,419 and 49,191 is: 107,933.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,419 : 49,191 = 49,191 : x
  2. Step 2: Convert to fraction form
    22,419/49,191 = 49,191/x
  3. Step 3: Cross multiply
    22,419x = 49,191 × 49,191
  4. Step 4: Simplify right side
    22,419x = 2,419,754,481
  5. Step 5: Solve for x
    x = 2,419,754,481/22,419
  6. Step 6: Final answer
    x = 107,933.20

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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.