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Finding the Third Proportional to 22,297 and 49,144

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Solution

The third proportional to 22,297 and 49,144 is: 108,316.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,297 : 49,144 = 49,144 : x
  2. Step 2: Convert to fraction form
    22,297/49,144 = 49,144/x
  3. Step 3: Cross multiply
    22,297x = 49,144 × 49,144
  4. Step 4: Simplify right side
    22,297x = 2,415,132,736
  5. Step 5: Solve for x
    x = 2,415,132,736/22,297
  6. Step 6: Final answer
    x = 108,316.49

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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.