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Finding the Third Proportional to 26,778 and 30,666

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Solution

The third proportional to 26,778 and 30,666 is: 35,118.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,778 : 30,666 = 30,666 : x
  2. Step 2: Convert to fraction form
    26,778/30,666 = 30,666/x
  3. Step 3: Cross multiply
    26,778x = 30,666 × 30,666
  4. Step 4: Simplify right side
    26,778x = 940,403,556
  5. Step 5: Solve for x
    x = 940,403,556/26,778
  6. Step 6: Final answer
    x = 35,118.51

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.