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Finding the Third Proportional to 19,694 and 27,583

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Solution

The third proportional to 19,694 and 27,583 is: 38,632.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,694 : 27,583 = 27,583 : x
  2. Step 2: Convert to fraction form
    19,694/27,583 = 27,583/x
  3. Step 3: Cross multiply
    19,694x = 27,583 × 27,583
  4. Step 4: Simplify right side
    19,694x = 760,821,889
  5. Step 5: Solve for x
    x = 760,821,889/19,694
  6. Step 6: Final answer
    x = 38,632.17

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.