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Finding the Third Proportional to 26,766 and 56,546

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Solution

The third proportional to 26,766 and 56,546 is: 119,459.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,766 : 56,546 = 56,546 : x
  2. Step 2: Convert to fraction form
    26,766/56,546 = 56,546/x
  3. Step 3: Cross multiply
    26,766x = 56,546 × 56,546
  4. Step 4: Simplify right side
    26,766x = 3,197,450,116
  5. Step 5: Solve for x
    x = 3,197,450,116/26,766
  6. Step 6: Final answer
    x = 119,459.39

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.