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Finding the Third Proportional to 31,838.06 and 73,635.75

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Solution

The third proportional to 31,838.06 and 73,635.75 is: 170,306.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,838.06 : 73,635.75 = 73,635.75 : x
  2. Step 2: Convert to fraction form
    31,838.06/73,635.75 = 73,635.75/x
  3. Step 3: Cross multiply
    31,838.06x = 73,635.75 × 73,635.75
  4. Step 4: Simplify right side
    31,838.06x = 5,422,223,678.06
  5. Step 5: Solve for x
    x = 5,422,223,678.06/31,838.06
  6. Step 6: Final answer
    x = 170,306.33

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.