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Finding the Third Proportional to 17,208 and 22,678

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Solution

The third proportional to 17,208 and 22,678 is: 29,886.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,208 : 22,678 = 22,678 : x
  2. Step 2: Convert to fraction form
    17,208/22,678 = 22,678/x
  3. Step 3: Cross multiply
    17,208x = 22,678 × 22,678
  4. Step 4: Simplify right side
    17,208x = 514,291,684
  5. Step 5: Solve for x
    x = 514,291,684/17,208
  6. Step 6: Final answer
    x = 29,886.78

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.