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Finding the Third Proportional to 19,744 and 40,640

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Solution

The third proportional to 19,744 and 40,640 is: 83,651.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,744 : 40,640 = 40,640 : x
  2. Step 2: Convert to fraction form
    19,744/40,640 = 40,640/x
  3. Step 3: Cross multiply
    19,744x = 40,640 × 40,640
  4. Step 4: Simplify right side
    19,744x = 1,651,609,600
  5. Step 5: Solve for x
    x = 1,651,609,600/19,744
  6. Step 6: Final answer
    x = 83,651.22

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.