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Finding the Third Proportional to 33,363.50 and 72,535

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Solution

The third proportional to 33,363.50 and 72,535 is: 157,697.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,363.50 : 72,535 = 72,535 : x
  2. Step 2: Convert to fraction form
    33,363.50/72,535 = 72,535/x
  3. Step 3: Cross multiply
    33,363.50x = 72,535 × 72,535
  4. Step 4: Simplify right side
    33,363.50x = 5,261,326,225
  5. Step 5: Solve for x
    x = 5,261,326,225/33,363.50
  6. Step 6: Final answer
    x = 157,697.07

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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.