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Finding the Third Proportional to 33,256.75 and 72,332

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Solution

The third proportional to 33,256.75 and 72,332 is: 157,318.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,256.75 : 72,332 = 72,332 : x
  2. Step 2: Convert to fraction form
    33,256.75/72,332 = 72,332/x
  3. Step 3: Cross multiply
    33,256.75x = 72,332 × 72,332
  4. Step 4: Simplify right side
    33,256.75x = 5,231,918,224
  5. Step 5: Solve for x
    x = 5,231,918,224/33,256.75
  6. Step 6: Final answer
    x = 157,318.99

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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.