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Finding the Third Proportional to 17,314 and 19,690

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Solution

The third proportional to 17,314 and 19,690 is: 22,392.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,314 : 19,690 = 19,690 : x
  2. Step 2: Convert to fraction form
    17,314/19,690 = 19,690/x
  3. Step 3: Cross multiply
    17,314x = 19,690 × 19,690
  4. Step 4: Simplify right side
    17,314x = 387,696,100
  5. Step 5: Solve for x
    x = 387,696,100/17,314
  6. Step 6: Final answer
    x = 22,392.06

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.