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Finding the Third Proportional to 28,708 and 41,398

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Solution

The third proportional to 28,708 and 41,398 is: 59,697.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,708 : 41,398 = 41,398 : x
  2. Step 2: Convert to fraction form
    28,708/41,398 = 41,398/x
  3. Step 3: Cross multiply
    28,708x = 41,398 × 41,398
  4. Step 4: Simplify right side
    28,708x = 1,713,794,404
  5. Step 5: Solve for x
    x = 1,713,794,404/28,708
  6. Step 6: Final answer
    x = 59,697.45

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.