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Finding the Third Proportional to 26,269 and 39,431

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Solution

The third proportional to 26,269 and 39,431 is: 59,187.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,269 : 39,431 = 39,431 : x
  2. Step 2: Convert to fraction form
    26,269/39,431 = 39,431/x
  3. Step 3: Cross multiply
    26,269x = 39,431 × 39,431
  4. Step 4: Simplify right side
    26,269x = 1,554,803,761
  5. Step 5: Solve for x
    x = 1,554,803,761/26,269
  6. Step 6: Final answer
    x = 59,187.78

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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.