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Finding the Third Proportional to 26,216 and 39,398

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Solution

The third proportional to 26,216 and 39,398 is: 59,208.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,216 : 39,398 = 39,398 : x
  2. Step 2: Convert to fraction form
    26,216/39,398 = 39,398/x
  3. Step 3: Cross multiply
    26,216x = 39,398 × 39,398
  4. Step 4: Simplify right side
    26,216x = 1,552,202,404
  5. Step 5: Solve for x
    x = 1,552,202,404/26,216
  6. Step 6: Final answer
    x = 59,208.21

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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.