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Finding the Third Proportional to 22,246 and 34,644

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Solution

The third proportional to 22,246 and 34,644 is: 53,951.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,246 : 34,644 = 34,644 : x
  2. Step 2: Convert to fraction form
    22,246/34,644 = 34,644/x
  3. Step 3: Cross multiply
    22,246x = 34,644 × 34,644
  4. Step 4: Simplify right side
    22,246x = 1,200,206,736
  5. Step 5: Solve for x
    x = 1,200,206,736/22,246
  6. Step 6: Final answer
    x = 53,951.57

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.