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Finding the Third Proportional to 33,836 and 45,644

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Solution

The third proportional to 33,836 and 45,644 is: 61,572.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,836 : 45,644 = 45,644 : x
  2. Step 2: Convert to fraction form
    33,836/45,644 = 45,644/x
  3. Step 3: Cross multiply
    33,836x = 45,644 × 45,644
  4. Step 4: Simplify right side
    33,836x = 2,083,374,736
  5. Step 5: Solve for x
    x = 2,083,374,736/33,836
  6. Step 6: Final answer
    x = 61,572.73

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.