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Finding the Third Proportional to 24,698 and 48,144

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Solution

The third proportional to 24,698 and 48,144 is: 93,847.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,698 : 48,144 = 48,144 : x
  2. Step 2: Convert to fraction form
    24,698/48,144 = 48,144/x
  3. Step 3: Cross multiply
    24,698x = 48,144 × 48,144
  4. Step 4: Simplify right side
    24,698x = 2,317,844,736
  5. Step 5: Solve for x
    x = 2,317,844,736/24,698
  6. Step 6: Final answer
    x = 93,847.47

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.