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Finding the Third Proportional to 33,056 and 51,224

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Solution

The third proportional to 33,056 and 51,224 is: 79,377.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,056 : 51,224 = 51,224 : x
  2. Step 2: Convert to fraction form
    33,056/51,224 = 51,224/x
  3. Step 3: Cross multiply
    33,056x = 51,224 × 51,224
  4. Step 4: Simplify right side
    33,056x = 2,623,898,176
  5. Step 5: Solve for x
    x = 2,623,898,176/33,056
  6. Step 6: Final answer
    x = 79,377.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.