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Finding the Third Proportional to 33,235.25 and 72,302.50

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Solution

The third proportional to 33,235.25 and 72,302.50 is: 157,292.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,235.25 : 72,302.50 = 72,302.50 : x
  2. Step 2: Convert to fraction form
    33,235.25/72,302.50 = 72,302.50/x
  3. Step 3: Cross multiply
    33,235.25x = 72,302.50 × 72,302.50
  4. Step 4: Simplify right side
    33,235.25x = 5,227,651,506.25
  5. Step 5: Solve for x
    x = 5,227,651,506.25/33,235.25
  6. Step 6: Final answer
    x = 157,292.38

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.