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Finding the Third Proportional to 22,256 and 34,392

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Solution

The third proportional to 22,256 and 34,392 is: 53,145.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,256 : 34,392 = 34,392 : x
  2. Step 2: Convert to fraction form
    22,256/34,392 = 34,392/x
  3. Step 3: Cross multiply
    22,256x = 34,392 × 34,392
  4. Step 4: Simplify right side
    22,256x = 1,182,809,664
  5. Step 5: Solve for x
    x = 1,182,809,664/22,256
  6. Step 6: Final answer
    x = 53,145.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.