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Finding the Third Proportional to 26,860 and 41,768

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Solution

The third proportional to 26,860 and 41,768 is: 64,950.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,860 : 41,768 = 41,768 : x
  2. Step 2: Convert to fraction form
    26,860/41,768 = 41,768/x
  3. Step 3: Cross multiply
    26,860x = 41,768 × 41,768
  4. Step 4: Simplify right side
    26,860x = 1,744,565,824
  5. Step 5: Solve for x
    x = 1,744,565,824/26,860
  6. Step 6: Final answer
    x = 64,950.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.