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Finding the Third Proportional to 22,499 and 50,182

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Solution

The third proportional to 22,499 and 50,182 is: 111,926.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,499 : 50,182 = 50,182 : x
  2. Step 2: Convert to fraction form
    22,499/50,182 = 50,182/x
  3. Step 3: Cross multiply
    22,499x = 50,182 × 50,182
  4. Step 4: Simplify right side
    22,499x = 2,518,233,124
  5. Step 5: Solve for x
    x = 2,518,233,124/22,499
  6. Step 6: Final answer
    x = 111,926.45

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.