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Finding the Third Proportional to 33,100.13 and 72,881.06

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Solution

The third proportional to 33,100.13 and 72,881.06 is: 160,472.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,100.13 : 72,881.06 = 72,881.06 : x
  2. Step 2: Convert to fraction form
    33,100.13/72,881.06 = 72,881.06/x
  3. Step 3: Cross multiply
    33,100.13x = 72,881.06 × 72,881.06
  4. Step 4: Simplify right side
    33,100.13x = 5,311,649,271.13
  5. Step 5: Solve for x
    x = 5,311,649,271.13/33,100.13
  6. Step 6: Final answer
    x = 160,472.18

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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.