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Finding the Third Proportional to 33,582 and 49,122

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Solution

The third proportional to 33,582 and 49,122 is: 71,853.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,582 : 49,122 = 49,122 : x
  2. Step 2: Convert to fraction form
    33,582/49,122 = 49,122/x
  3. Step 3: Cross multiply
    33,582x = 49,122 × 49,122
  4. Step 4: Simplify right side
    33,582x = 2,412,970,884
  5. Step 5: Solve for x
    x = 2,412,970,884/33,582
  6. Step 6: Final answer
    x = 71,853.10

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