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Finding the Third Proportional to 33,523 and 49,187

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Solution

The third proportional to 33,523 and 49,187 is: 72,170.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,523 : 49,187 = 49,187 : x
  2. Step 2: Convert to fraction form
    33,523/49,187 = 49,187/x
  3. Step 3: Cross multiply
    33,523x = 49,187 × 49,187
  4. Step 4: Simplify right side
    33,523x = 2,419,360,969
  5. Step 5: Solve for x
    x = 2,419,360,969/33,523
  6. Step 6: Final answer
    x = 72,170.18

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