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Finding the Third Proportional to 33,473.25 and 72,778.50

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Solution

The third proportional to 33,473.25 and 72,778.50 is: 158,237.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,473.25 : 72,778.50 = 72,778.50 : x
  2. Step 2: Convert to fraction form
    33,473.25/72,778.50 = 72,778.50/x
  3. Step 3: Cross multiply
    33,473.25x = 72,778.50 × 72,778.50
  4. Step 4: Simplify right side
    33,473.25x = 5,296,710,062.25
  5. Step 5: Solve for x
    x = 5,296,710,062.25/33,473.25
  6. Step 6: Final answer
    x = 158,237.10

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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.