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Finding the Third Proportional to 33,811.50 and 72,313.50

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Solution

The third proportional to 33,811.50 and 72,313.50 is: 154,658.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,811.50 : 72,313.50 = 72,313.50 : x
  2. Step 2: Convert to fraction form
    33,811.50/72,313.50 = 72,313.50/x
  3. Step 3: Cross multiply
    33,811.50x = 72,313.50 × 72,313.50
  4. Step 4: Simplify right side
    33,811.50x = 5,229,242,282.25
  5. Step 5: Solve for x
    x = 5,229,242,282.25/33,811.50
  6. Step 6: Final answer
    x = 154,658.69

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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.