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Finding the Third Proportional to 33,765.19 and 72,452.81

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Solution

The third proportional to 33,765.19 and 72,452.81 is: 155,468.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,765.19 : 72,452.81 = 72,452.81 : x
  2. Step 2: Convert to fraction form
    33,765.19/72,452.81 = 72,452.81/x
  3. Step 3: Cross multiply
    33,765.19x = 72,452.81 × 72,452.81
  4. Step 4: Simplify right side
    33,765.19x = 5,249,410,039.16
  5. Step 5: Solve for x
    x = 5,249,410,039.16/33,765.19
  6. Step 6: Final answer
    x = 155,468.11

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.