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Finding the Third Proportional to 26,231 and 56,631

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Solution

The third proportional to 26,231 and 56,631 is: 122,262.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,231 : 56,631 = 56,631 : x
  2. Step 2: Convert to fraction form
    26,231/56,631 = 56,631/x
  3. Step 3: Cross multiply
    26,231x = 56,631 × 56,631
  4. Step 4: Simplify right side
    26,231x = 3,207,070,161
  5. Step 5: Solve for x
    x = 3,207,070,161/26,231
  6. Step 6: Final answer
    x = 122,262.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.