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Finding the Third Proportional to 47,928.56 and 103,791.75

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Solution

The third proportional to 47,928.56 and 103,791.75 is: 224,766.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,928.56 : 103,791.75 = 103,791.75 : x
  2. Step 2: Convert to fraction form
    47,928.56/103,791.75 = 103,791.75/x
  3. Step 3: Cross multiply
    47,928.56x = 103,791.75 × 103,791.75
  4. Step 4: Simplify right side
    47,928.56x = 10,772,727,368.06
  5. Step 5: Solve for x
    x = 10,772,727,368.06/47,928.56
  6. Step 6: Final answer
    x = 224,766.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.