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Finding the Third Proportional to 23,986.41 and 37,625.77

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Solution

The third proportional to 23,986.41 and 37,625.77 is: 59,020.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,986.41 : 37,625.77 = 37,625.77 : x
  2. Step 2: Convert to fraction form
    23,986.41/37,625.77 = 37,625.77/x
  3. Step 3: Cross multiply
    23,986.41x = 37,625.77 × 37,625.77
  4. Step 4: Simplify right side
    23,986.41x = 1,415,698,238.87
  5. Step 5: Solve for x
    x = 1,415,698,238.87/23,986.41
  6. Step 6: Final answer
    x = 59,020.86

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.