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Finding the Third Proportional to 22,509 and 48,836

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Solution

The third proportional to 22,509 and 48,836 is: 105,955.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,509 : 48,836 = 48,836 : x
  2. Step 2: Convert to fraction form
    22,509/48,836 = 48,836/x
  3. Step 3: Cross multiply
    22,509x = 48,836 × 48,836
  4. Step 4: Simplify right side
    22,509x = 2,384,954,896
  5. Step 5: Solve for x
    x = 2,384,954,896/22,509
  6. Step 6: Final answer
    x = 105,955.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.