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Finding the Third Proportional to 22,334 and 33,789

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Solution

The third proportional to 22,334 and 33,789 is: 51,119.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,334 : 33,789 = 33,789 : x
  2. Step 2: Convert to fraction form
    22,334/33,789 = 33,789/x
  3. Step 3: Cross multiply
    22,334x = 33,789 × 33,789
  4. Step 4: Simplify right side
    22,334x = 1,141,696,521
  5. Step 5: Solve for x
    x = 1,141,696,521/22,334
  6. Step 6: Final answer
    x = 51,119.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.