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Finding the Third Proportional to 24,448 and 50,732

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Solution

The third proportional to 24,448 and 50,732 is: 105,273.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,448 : 50,732 = 50,732 : x
  2. Step 2: Convert to fraction form
    24,448/50,732 = 50,732/x
  3. Step 3: Cross multiply
    24,448x = 50,732 × 50,732
  4. Step 4: Simplify right side
    24,448x = 2,573,735,824
  5. Step 5: Solve for x
    x = 2,573,735,824/24,448
  6. Step 6: Final answer
    x = 105,273.88

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.