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Finding the Third Proportional to 24,115.50 and 37,716.75

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Solution

The third proportional to 24,115.50 and 37,716.75 is: 58,989.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,115.50 : 37,716.75 = 37,716.75 : x
  2. Step 2: Convert to fraction form
    24,115.50/37,716.75 = 37,716.75/x
  3. Step 3: Cross multiply
    24,115.50x = 37,716.75 × 37,716.75
  4. Step 4: Simplify right side
    24,115.50x = 1,422,553,230.56
  5. Step 5: Solve for x
    x = 1,422,553,230.56/24,115.50
  6. Step 6: Final answer
    x = 58,989.17

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.