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Finding the Third Proportional to 17,770 and 26,531

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Solution

The third proportional to 17,770 and 26,531 is: 39,611.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,770 : 26,531 = 26,531 : x
  2. Step 2: Convert to fraction form
    17,770/26,531 = 26,531/x
  3. Step 3: Cross multiply
    17,770x = 26,531 × 26,531
  4. Step 4: Simplify right side
    17,770x = 703,893,961
  5. Step 5: Solve for x
    x = 703,893,961/17,770
  6. Step 6: Final answer
    x = 39,611.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.