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Finding the Third Proportional to 33,925.50 and 71,403.19

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Solution

The third proportional to 33,925.50 and 71,403.19 is: 150,282.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,925.50 : 71,403.19 = 71,403.19 : x
  2. Step 2: Convert to fraction form
    33,925.50/71,403.19 = 71,403.19/x
  3. Step 3: Cross multiply
    33,925.50x = 71,403.19 × 71,403.19
  4. Step 4: Simplify right side
    33,925.50x = 5,098,415,185.16
  5. Step 5: Solve for x
    x = 5,098,415,185.16/33,925.50
  6. Step 6: Final answer
    x = 150,282.68

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.