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Finding the Third Proportional to 23,707.13 and 34,684.88

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Solution

The third proportional to 23,707.13 and 34,684.88 is: 50,745.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,707.13 : 34,684.88 = 34,684.88 : x
  2. Step 2: Convert to fraction form
    23,707.13/34,684.88 = 34,684.88/x
  3. Step 3: Cross multiply
    23,707.13x = 34,684.88 × 34,684.88
  4. Step 4: Simplify right side
    23,707.13x = 1,203,040,553.77
  5. Step 5: Solve for x
    x = 1,203,040,553.77/23,707.13
  6. Step 6: Final answer
    x = 50,745.95

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.