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Finding the Third Proportional to 26,668 and 56,768

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Solution

The third proportional to 26,668 and 56,768 is: 120,841.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,668 : 56,768 = 56,768 : x
  2. Step 2: Convert to fraction form
    26,668/56,768 = 56,768/x
  3. Step 3: Cross multiply
    26,668x = 56,768 × 56,768
  4. Step 4: Simplify right side
    26,668x = 3,222,605,824
  5. Step 5: Solve for x
    x = 3,222,605,824/26,668
  6. Step 6: Final answer
    x = 120,841.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.