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Finding the Third Proportional to 24,494.06 and 36,645.75

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Solution

The third proportional to 24,494.06 and 36,645.75 is: 54,825.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,494.06 : 36,645.75 = 36,645.75 : x
  2. Step 2: Convert to fraction form
    24,494.06/36,645.75 = 36,645.75/x
  3. Step 3: Cross multiply
    24,494.06x = 36,645.75 × 36,645.75
  4. Step 4: Simplify right side
    24,494.06x = 1,342,910,993.06
  5. Step 5: Solve for x
    x = 1,342,910,993.06/24,494.06
  6. Step 6: Final answer
    x = 54,825.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.