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Finding the Third Proportional to 33,123.94 and 48,711.38

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Solution

The third proportional to 33,123.94 and 48,711.38 is: 71,633.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,123.94 : 48,711.38 = 48,711.38 : x
  2. Step 2: Convert to fraction form
    33,123.94/48,711.38 = 48,711.38/x
  3. Step 3: Cross multiply
    33,123.94x = 48,711.38 × 48,711.38
  4. Step 4: Simplify right side
    33,123.94x = 2,372,798,054.39
  5. Step 5: Solve for x
    x = 2,372,798,054.39/33,123.94
  6. Step 6: Final answer
    x = 71,633.94

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.