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Finding the Third Proportional to 23,849.25 and 37,758.75

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Solution

The third proportional to 23,849.25 and 37,758.75 is: 59,780.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,849.25 : 37,758.75 = 37,758.75 : x
  2. Step 2: Convert to fraction form
    23,849.25/37,758.75 = 37,758.75/x
  3. Step 3: Cross multiply
    23,849.25x = 37,758.75 × 37,758.75
  4. Step 4: Simplify right side
    23,849.25x = 1,425,723,201.56
  5. Step 5: Solve for x
    x = 1,425,723,201.56/23,849.25
  6. Step 6: Final answer
    x = 59,780.63

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.