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Finding the Third Proportional to 33,054 and 72,639

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Solution

The third proportional to 33,054 and 72,639 is: 159,630.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,054 : 72,639 = 72,639 : x
  2. Step 2: Convert to fraction form
    33,054/72,639 = 72,639/x
  3. Step 3: Cross multiply
    33,054x = 72,639 × 72,639
  4. Step 4: Simplify right side
    33,054x = 5,276,424,321
  5. Step 5: Solve for x
    x = 5,276,424,321/33,054
  6. Step 6: Final answer
    x = 159,630.43

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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.