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Finding the Third Proportional to 4,785.75 and 10,150.31

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Solution

The third proportional to 4,785.75 and 10,150.31 is: 21,528.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,785.75 : 10,150.31 = 10,150.31 : x
  2. Step 2: Convert to fraction form
    4,785.75/10,150.31 = 10,150.31/x
  3. Step 3: Cross multiply
    4,785.75x = 10,150.31 × 10,150.31
  4. Step 4: Simplify right side
    4,785.75x = 103,028,843.85
  5. Step 5: Solve for x
    x = 103,028,843.85/4,785.75
  6. Step 6: Final answer
    x = 21,528.25

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.