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Finding the Third Proportional to 26,766 and 55,656

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Solution

The third proportional to 26,766 and 55,656 is: 115,728.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,766 : 55,656 = 55,656 : x
  2. Step 2: Convert to fraction form
    26,766/55,656 = 55,656/x
  3. Step 3: Cross multiply
    26,766x = 55,656 × 55,656
  4. Step 4: Simplify right side
    26,766x = 3,097,590,336
  5. Step 5: Solve for x
    x = 3,097,590,336/26,766
  6. Step 6: Final answer
    x = 115,728.55

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.