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Finding the Third Proportional to 48,025.50 and 70,481.25

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Solution

The third proportional to 48,025.50 and 70,481.25 is: 103,436.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,025.50 : 70,481.25 = 70,481.25 : x
  2. Step 2: Convert to fraction form
    48,025.50/70,481.25 = 70,481.25/x
  3. Step 3: Cross multiply
    48,025.50x = 70,481.25 × 70,481.25
  4. Step 4: Simplify right side
    48,025.50x = 4,967,606,601.56
  5. Step 5: Solve for x
    x = 4,967,606,601.56/48,025.50
  6. Step 6: Final answer
    x = 103,436.85

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.