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Finding the Third Proportional to 47,472.75 and 103,449.75

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Solution

The third proportional to 47,472.75 and 103,449.75 is: 225,431.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,472.75 : 103,449.75 = 103,449.75 : x
  2. Step 2: Convert to fraction form
    47,472.75/103,449.75 = 103,449.75/x
  3. Step 3: Cross multiply
    47,472.75x = 103,449.75 × 103,449.75
  4. Step 4: Simplify right side
    47,472.75x = 10,701,850,775.06
  5. Step 5: Solve for x
    x = 10,701,850,775.06/47,472.75
  6. Step 6: Final answer
    x = 225,431.45

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.