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Finding the Third Proportional to 22,399 and 49,178

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Solution

The third proportional to 22,399 and 49,178 is: 107,972.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,399 : 49,178 = 49,178 : x
  2. Step 2: Convert to fraction form
    22,399/49,178 = 49,178/x
  3. Step 3: Cross multiply
    22,399x = 49,178 × 49,178
  4. Step 4: Simplify right side
    22,399x = 2,418,475,684
  5. Step 5: Solve for x
    x = 2,418,475,684/22,399
  6. Step 6: Final answer
    x = 107,972.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.