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Finding the Third Proportional to 22,624 and 33,278

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Solution

The third proportional to 22,624 and 33,278 is: 48,949.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,624 : 33,278 = 33,278 : x
  2. Step 2: Convert to fraction form
    22,624/33,278 = 33,278/x
  3. Step 3: Cross multiply
    22,624x = 33,278 × 33,278
  4. Step 4: Simplify right side
    22,624x = 1,107,425,284
  5. Step 5: Solve for x
    x = 1,107,425,284/22,624
  6. Step 6: Final answer
    x = 48,949.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.