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Finding the Third Proportional to 5,763 and 6,243

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Solution

The third proportional to 5,763 and 6,243 is: 6,762.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763 : 6,243 = 6,243 : x
  2. Step 2: Convert to fraction form
    5,763/6,243 = 6,243/x
  3. Step 3: Cross multiply
    5,763x = 6,243 × 6,243
  4. Step 4: Simplify right side
    5,763x = 38,975,049
  5. Step 5: Solve for x
    x = 38,975,049/5,763
  6. Step 6: Final answer
    x = 6,762.98

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.