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Finding the Third Proportional to 33,672 and 74,028

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Solution

The third proportional to 33,672 and 74,028 is: 162,750.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,672 : 74,028 = 74,028 : x
  2. Step 2: Convert to fraction form
    33,672/74,028 = 74,028/x
  3. Step 3: Cross multiply
    33,672x = 74,028 × 74,028
  4. Step 4: Simplify right side
    33,672x = 5,480,144,784
  5. Step 5: Solve for x
    x = 5,480,144,784/33,672
  6. Step 6: Final answer
    x = 162,750.80

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.