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Finding the Third Proportional to 26,928 and 56,768

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Solution

The third proportional to 26,928 and 56,768 is: 119,674.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,928 : 56,768 = 56,768 : x
  2. Step 2: Convert to fraction form
    26,928/56,768 = 56,768/x
  3. Step 3: Cross multiply
    26,928x = 56,768 × 56,768
  4. Step 4: Simplify right side
    26,928x = 3,222,605,824
  5. Step 5: Solve for x
    x = 3,222,605,824/26,928
  6. Step 6: Final answer
    x = 119,674.90

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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.