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Finding the Third Proportional to 22,618 and 33,273

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Solution

The third proportional to 22,618 and 33,273 is: 48,947.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,618 : 33,273 = 33,273 : x
  2. Step 2: Convert to fraction form
    22,618/33,273 = 33,273/x
  3. Step 3: Cross multiply
    22,618x = 33,273 × 33,273
  4. Step 4: Simplify right side
    22,618x = 1,107,092,529
  5. Step 5: Solve for x
    x = 1,107,092,529/22,618
  6. Step 6: Final answer
    x = 48,947.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.