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Finding the Third Proportional to 22,664 and 48,838

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Solution

The third proportional to 22,664 and 48,838 is: 105,239.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,664 : 48,838 = 48,838 : x
  2. Step 2: Convert to fraction form
    22,664/48,838 = 48,838/x
  3. Step 3: Cross multiply
    22,664x = 48,838 × 48,838
  4. Step 4: Simplify right side
    22,664x = 2,385,150,244
  5. Step 5: Solve for x
    x = 2,385,150,244/22,664
  6. Step 6: Final answer
    x = 105,239.60

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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.