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Finding the Third Proportional to 22,334 and 33,253

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Solution

The third proportional to 22,334 and 33,253 is: 49,510.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,334 : 33,253 = 33,253 : x
  2. Step 2: Convert to fraction form
    22,334/33,253 = 33,253/x
  3. Step 3: Cross multiply
    22,334x = 33,253 × 33,253
  4. Step 4: Simplify right side
    22,334x = 1,105,762,009
  5. Step 5: Solve for x
    x = 1,105,762,009/22,334
  6. Step 6: Final answer
    x = 49,510.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.