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Finding the Third Proportional to 5,778 and 12,243

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Solution

The third proportional to 5,778 and 12,243 is: 25,941.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778 : 12,243 = 12,243 : x
  2. Step 2: Convert to fraction form
    5,778/12,243 = 12,243/x
  3. Step 3: Cross multiply
    5,778x = 12,243 × 12,243
  4. Step 4: Simplify right side
    5,778x = 149,891,049
  5. Step 5: Solve for x
    x = 149,891,049/5,778
  6. Step 6: Final answer
    x = 25,941.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.