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Finding the Third Proportional to 33,758 and 54,237

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Solution

The third proportional to 33,758 and 54,237 is: 87,139.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,758 : 54,237 = 54,237 : x
  2. Step 2: Convert to fraction form
    33,758/54,237 = 54,237/x
  3. Step 3: Cross multiply
    33,758x = 54,237 × 54,237
  4. Step 4: Simplify right side
    33,758x = 2,941,652,169
  5. Step 5: Solve for x
    x = 2,941,652,169/33,758
  6. Step 6: Final answer
    x = 87,139.41

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.