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Finding the Third Proportional to 13,122 and 18,947

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Solution

The third proportional to 13,122 and 18,947 is: 27,357.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,122 : 18,947 = 18,947 : x
  2. Step 2: Convert to fraction form
    13,122/18,947 = 18,947/x
  3. Step 3: Cross multiply
    13,122x = 18,947 × 18,947
  4. Step 4: Simplify right side
    13,122x = 358,988,809
  5. Step 5: Solve for x
    x = 358,988,809/13,122
  6. Step 6: Final answer
    x = 27,357.78

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.