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Finding the Third Proportional to 5,103 and 7,749

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Solution

The third proportional to 5,103 and 7,749 is: 11,767

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103 : 7,749 = 7,749 : x
  2. Step 2: Convert to fraction form
    5,103/7,749 = 7,749/x
  3. Step 3: Cross multiply
    5,103x = 7,749 × 7,749
  4. Step 4: Simplify right side
    5,103x = 60,047,001
  5. Step 5: Solve for x
    x = 60,047,001/5,103
  6. Step 6: Final answer
    x = 11,767

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.