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Finding the Third Proportional to 21,584 and 44,212

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Solution

The third proportional to 21,584 and 44,212 is: 90,562.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,584 : 44,212 = 44,212 : x
  2. Step 2: Convert to fraction form
    21,584/44,212 = 44,212/x
  3. Step 3: Cross multiply
    21,584x = 44,212 × 44,212
  4. Step 4: Simplify right side
    21,584x = 1,954,700,944
  5. Step 5: Solve for x
    x = 1,954,700,944/21,584
  6. Step 6: Final answer
    x = 90,562.50

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.