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Finding the Third Proportional to 11,778 and 25,743

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Solution

The third proportional to 11,778 and 25,743 is: 56,266.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,778 : 25,743 = 25,743 : x
  2. Step 2: Convert to fraction form
    11,778/25,743 = 25,743/x
  3. Step 3: Cross multiply
    11,778x = 25,743 × 25,743
  4. Step 4: Simplify right side
    11,778x = 662,702,049
  5. Step 5: Solve for x
    x = 662,702,049/11,778
  6. Step 6: Final answer
    x = 56,266.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.