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Finding the Third Proportional to 34,004.25 and 47,799.75

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Solution

The third proportional to 34,004.25 and 47,799.75 is: 67,192.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,004.25 : 47,799.75 = 47,799.75 : x
  2. Step 2: Convert to fraction form
    34,004.25/47,799.75 = 47,799.75/x
  3. Step 3: Cross multiply
    34,004.25x = 47,799.75 × 47,799.75
  4. Step 4: Simplify right side
    34,004.25x = 2,284,816,100.06
  5. Step 5: Solve for x
    x = 2,284,816,100.06/34,004.25
  6. Step 6: Final answer
    x = 67,192.07

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.