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Finding the Third Proportional to 17,357 and 36,895

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Solution

The third proportional to 17,357 and 36,895 is: 78,426.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,357 : 36,895 = 36,895 : x
  2. Step 2: Convert to fraction form
    17,357/36,895 = 36,895/x
  3. Step 3: Cross multiply
    17,357x = 36,895 × 36,895
  4. Step 4: Simplify right side
    17,357x = 1,361,241,025
  5. Step 5: Solve for x
    x = 1,361,241,025/17,357
  6. Step 6: Final answer
    x = 78,426.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.