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Finding the Third Proportional to 24,664 and 48,098

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Solution

The third proportional to 24,664 and 48,098 is: 93,797.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,664 : 48,098 = 48,098 : x
  2. Step 2: Convert to fraction form
    24,664/48,098 = 48,098/x
  3. Step 3: Cross multiply
    24,664x = 48,098 × 48,098
  4. Step 4: Simplify right side
    24,664x = 2,313,417,604
  5. Step 5: Solve for x
    x = 2,313,417,604/24,664
  6. Step 6: Final answer
    x = 93,797.34

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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.