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Finding the Third Proportional to 24,544.50 and 35,937

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Solution

The third proportional to 24,544.50 and 35,937 is: 52,617.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,544.50 : 35,937 = 35,937 : x
  2. Step 2: Convert to fraction form
    24,544.50/35,937 = 35,937/x
  3. Step 3: Cross multiply
    24,544.50x = 35,937 × 35,937
  4. Step 4: Simplify right side
    24,544.50x = 1,291,467,969
  5. Step 5: Solve for x
    x = 1,291,467,969/24,544.50
  6. Step 6: Final answer
    x = 52,617.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.