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Finding the Third Proportional to 17,908 and 39,395

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Solution

The third proportional to 17,908 and 39,395 is: 86,663.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,908 : 39,395 = 39,395 : x
  2. Step 2: Convert to fraction form
    17,908/39,395 = 39,395/x
  3. Step 3: Cross multiply
    17,908x = 39,395 × 39,395
  4. Step 4: Simplify right side
    17,908x = 1,551,966,025
  5. Step 5: Solve for x
    x = 1,551,966,025/17,908
  6. Step 6: Final answer
    x = 86,663.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.