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Finding the Third Proportional to 23,867.16 and 49,695.40

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Solution

The third proportional to 23,867.16 and 49,695.40 is: 103,474.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,867.16 : 49,695.40 = 49,695.40 : x
  2. Step 2: Convert to fraction form
    23,867.16/49,695.40 = 49,695.40/x
  3. Step 3: Cross multiply
    23,867.16x = 49,695.40 × 49,695.40
  4. Step 4: Simplify right side
    23,867.16x = 2,469,632,625.86
  5. Step 5: Solve for x
    x = 2,469,632,625.86/23,867.16
  6. Step 6: Final answer
    x = 103,474.10

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.