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Finding the Third Proportional to 24,135.75 and 37,371.94

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Solution

The third proportional to 24,135.75 and 37,371.94 is: 57,866.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,135.75 : 37,371.94 = 37,371.94 : x
  2. Step 2: Convert to fraction form
    24,135.75/37,371.94 = 37,371.94/x
  3. Step 3: Cross multiply
    24,135.75x = 37,371.94 × 37,371.94
  4. Step 4: Simplify right side
    24,135.75x = 1,396,661,712.50
  5. Step 5: Solve for x
    x = 1,396,661,712.50/24,135.75
  6. Step 6: Final answer
    x = 57,866.93

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.