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Finding the Third Proportional to 26,889 and 39,381

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Solution

The third proportional to 26,889 and 39,381 is: 57,676.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,889 : 39,381 = 39,381 : x
  2. Step 2: Convert to fraction form
    26,889/39,381 = 39,381/x
  3. Step 3: Cross multiply
    26,889x = 39,381 × 39,381
  4. Step 4: Simplify right side
    26,889x = 1,550,863,161
  5. Step 5: Solve for x
    x = 1,550,863,161/26,889
  6. Step 6: Final answer
    x = 57,676.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.