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Finding the Third Proportional to 26,091 and 56,839

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Solution

The third proportional to 26,091 and 56,839 is: 123,823.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,091 : 56,839 = 56,839 : x
  2. Step 2: Convert to fraction form
    26,091/56,839 = 56,839/x
  3. Step 3: Cross multiply
    26,091x = 56,839 × 56,839
  4. Step 4: Simplify right side
    26,091x = 3,230,671,921
  5. Step 5: Solve for x
    x = 3,230,671,921/26,091
  6. Step 6: Final answer
    x = 123,823.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.