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Finding the Third Proportional to 23,007.16 and 48,795.54

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Solution

The third proportional to 23,007.16 and 48,795.54 is: 103,489.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,007.16 : 48,795.54 = 48,795.54 : x
  2. Step 2: Convert to fraction form
    23,007.16/48,795.54 = 48,795.54/x
  3. Step 3: Cross multiply
    23,007.16x = 48,795.54 × 48,795.54
  4. Step 4: Simplify right side
    23,007.16x = 2,381,004,632.40
  5. Step 5: Solve for x
    x = 2,381,004,632.40/23,007.16
  6. Step 6: Final answer
    x = 103,489.71

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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.