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Finding the Third Proportional to 33,465.94 and 72,763.88

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Solution

The third proportional to 33,465.94 and 72,763.88 is: 158,208.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,465.94 : 72,763.88 = 72,763.88 : x
  2. Step 2: Convert to fraction form
    33,465.94/72,763.88 = 72,763.88/x
  3. Step 3: Cross multiply
    33,465.94x = 72,763.88 × 72,763.88
  4. Step 4: Simplify right side
    33,465.94x = 5,294,581,505.02
  5. Step 5: Solve for x
    x = 5,294,581,505.02/33,465.94
  6. Step 6: Final answer
    x = 158,208.07

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.