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Finding the Third Proportional to 33,830.16 and 72,353.25

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Solution

The third proportional to 33,830.16 and 72,353.25 is: 154,743.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,830.16 : 72,353.25 = 72,353.25 : x
  2. Step 2: Convert to fraction form
    33,830.16/72,353.25 = 72,353.25/x
  3. Step 3: Cross multiply
    33,830.16x = 72,353.25 × 72,353.25
  4. Step 4: Simplify right side
    33,830.16x = 5,234,992,785.56
  5. Step 5: Solve for x
    x = 5,234,992,785.56/33,830.16
  6. Step 6: Final answer
    x = 154,743.38

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.