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Finding the Third Proportional to 22,087 and 48,062

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Solution

The third proportional to 22,087 and 48,062 is: 104,584.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,087 : 48,062 = 48,062 : x
  2. Step 2: Convert to fraction form
    22,087/48,062 = 48,062/x
  3. Step 3: Cross multiply
    22,087x = 48,062 × 48,062
  4. Step 4: Simplify right side
    22,087x = 2,309,955,844
  5. Step 5: Solve for x
    x = 2,309,955,844/22,087
  6. Step 6: Final answer
    x = 104,584.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.