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Finding the Third Proportional to 33,101.81 and 42,501.94

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Solution

The third proportional to 33,101.81 and 42,501.94 is: 54,571.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,101.81 : 42,501.94 = 42,501.94 : x
  2. Step 2: Convert to fraction form
    33,101.81/42,501.94 = 42,501.94/x
  3. Step 3: Cross multiply
    33,101.81x = 42,501.94 × 42,501.94
  4. Step 4: Simplify right side
    33,101.81x = 1,806,414,691.25
  5. Step 5: Solve for x
    x = 1,806,414,691.25/33,101.81
  6. Step 6: Final answer
    x = 54,571.47

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.