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Finding the Third Proportional to 23,217 and 33,832

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Solution

The third proportional to 23,217 and 33,832 is: 49,300.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,217 : 33,832 = 33,832 : x
  2. Step 2: Convert to fraction form
    23,217/33,832 = 33,832/x
  3. Step 3: Cross multiply
    23,217x = 33,832 × 33,832
  4. Step 4: Simplify right side
    23,217x = 1,144,604,224
  5. Step 5: Solve for x
    x = 1,144,604,224/23,217
  6. Step 6: Final answer
    x = 49,300.26

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.