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Finding the Third Proportional to 15,694 and 23,540

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Solution

The third proportional to 15,694 and 23,540 is: 35,308.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,694 : 23,540 = 23,540 : x
  2. Step 2: Convert to fraction form
    15,694/23,540 = 23,540/x
  3. Step 3: Cross multiply
    15,694x = 23,540 × 23,540
  4. Step 4: Simplify right side
    15,694x = 554,131,600
  5. Step 5: Solve for x
    x = 554,131,600/15,694
  6. Step 6: Final answer
    x = 35,308.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.