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Finding the Third Proportional to 24,108.50 and 36,019.50

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Solution

The third proportional to 24,108.50 and 36,019.50 is: 53,815.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,108.50 : 36,019.50 = 36,019.50 : x
  2. Step 2: Convert to fraction form
    24,108.50/36,019.50 = 36,019.50/x
  3. Step 3: Cross multiply
    24,108.50x = 36,019.50 × 36,019.50
  4. Step 4: Simplify right side
    24,108.50x = 1,297,404,380.25
  5. Step 5: Solve for x
    x = 1,297,404,380.25/24,108.50
  6. Step 6: Final answer
    x = 53,815.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.