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Finding the Third Proportional to 33,151.50 and 71,598.94

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Solution

The third proportional to 33,151.50 and 71,598.94 is: 154,635.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,151.50 : 71,598.94 = 71,598.94 : x
  2. Step 2: Convert to fraction form
    33,151.50/71,598.94 = 71,598.94/x
  3. Step 3: Cross multiply
    33,151.50x = 71,598.94 × 71,598.94
  4. Step 4: Simplify right side
    33,151.50x = 5,126,407,851.13
  5. Step 5: Solve for x
    x = 5,126,407,851.13/33,151.50
  6. Step 6: Final answer
    x = 154,635.77

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.