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Finding the Third Proportional to 22,724 and 48,904

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Solution

The third proportional to 22,724 and 48,904 is: 105,245.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,724 : 48,904 = 48,904 : x
  2. Step 2: Convert to fraction form
    22,724/48,904 = 48,904/x
  3. Step 3: Cross multiply
    22,724x = 48,904 × 48,904
  4. Step 4: Simplify right side
    22,724x = 2,391,601,216
  5. Step 5: Solve for x
    x = 2,391,601,216/22,724
  6. Step 6: Final answer
    x = 105,245.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.