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Finding the Third Proportional to 24,219 and 53,937

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Solution

The third proportional to 24,219 and 53,937 is: 120,120.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,219 : 53,937 = 53,937 : x
  2. Step 2: Convert to fraction form
    24,219/53,937 = 53,937/x
  3. Step 3: Cross multiply
    24,219x = 53,937 × 53,937
  4. Step 4: Simplify right side
    24,219x = 2,909,199,969
  5. Step 5: Solve for x
    x = 2,909,199,969/24,219
  6. Step 6: Final answer
    x = 120,120.57

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.