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Finding the Third Proportional to 24,135.75 and 56,391.38

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Solution

The third proportional to 24,135.75 and 56,391.38 is: 131,754.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,135.75 : 56,391.38 = 56,391.38 : x
  2. Step 2: Convert to fraction form
    24,135.75/56,391.38 = 56,391.38/x
  3. Step 3: Cross multiply
    24,135.75x = 56,391.38 × 56,391.38
  4. Step 4: Simplify right side
    24,135.75x = 3,179,987,174.39
  5. Step 5: Solve for x
    x = 3,179,987,174.39/24,135.75
  6. Step 6: Final answer
    x = 131,754.23

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.