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Finding the Third Proportional to 24,022 and 35,937

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Solution

The third proportional to 24,022 and 35,937 is: 53,761.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,022 : 35,937 = 35,937 : x
  2. Step 2: Convert to fraction form
    24,022/35,937 = 35,937/x
  3. Step 3: Cross multiply
    24,022x = 35,937 × 35,937
  4. Step 4: Simplify right side
    24,022x = 1,291,467,969
  5. Step 5: Solve for x
    x = 1,291,467,969/24,022
  6. Step 6: Final answer
    x = 53,761.88

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Why These Related Problems?

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