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Finding the Third Proportional to 33,168.76 and 72,853.17

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Solution

The third proportional to 33,168.76 and 72,853.17 is: 160,017.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,168.76 : 72,853.17 = 72,853.17 : x
  2. Step 2: Convert to fraction form
    33,168.76/72,853.17 = 72,853.17/x
  3. Step 3: Cross multiply
    33,168.76x = 72,853.17 × 72,853.17
  4. Step 4: Simplify right side
    33,168.76x = 5,307,584,652.25
  5. Step 5: Solve for x
    x = 5,307,584,652.25/33,168.76
  6. Step 6: Final answer
    x = 160,017.57

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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.