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Finding the Third Proportional to 34,212.38 and 50,382

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Solution

The third proportional to 34,212.38 and 50,382 is: 74,193.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,212.38 : 50,382 = 50,382 : x
  2. Step 2: Convert to fraction form
    34,212.38/50,382 = 50,382/x
  3. Step 3: Cross multiply
    34,212.38x = 50,382 × 50,382
  4. Step 4: Simplify right side
    34,212.38x = 2,538,345,924
  5. Step 5: Solve for x
    x = 2,538,345,924/34,212.38
  6. Step 6: Final answer
    x = 74,193.79

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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.