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Finding the Third Proportional to 24,619 and 53,749

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Solution

The third proportional to 24,619 and 53,749 is: 117,346.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,619 : 53,749 = 53,749 : x
  2. Step 2: Convert to fraction form
    24,619/53,749 = 53,749/x
  3. Step 3: Cross multiply
    24,619x = 53,749 × 53,749
  4. Step 4: Simplify right side
    24,619x = 2,888,955,001
  5. Step 5: Solve for x
    x = 2,888,955,001/24,619
  6. Step 6: Final answer
    x = 117,346.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.