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Finding the Third Proportional to 19,744 and 29,314

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Solution

The third proportional to 19,744 and 29,314 is: 43,522.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,744 : 29,314 = 29,314 : x
  2. Step 2: Convert to fraction form
    19,744/29,314 = 29,314/x
  3. Step 3: Cross multiply
    19,744x = 29,314 × 29,314
  4. Step 4: Simplify right side
    19,744x = 859,310,596
  5. Step 5: Solve for x
    x = 859,310,596/19,744
  6. Step 6: Final answer
    x = 43,522.62

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.