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Finding the Third Proportional to 2,269 and 4,717

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Solution

The third proportional to 2,269 and 4,717 is: 9,806.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269 : 4,717 = 4,717 : x
  2. Step 2: Convert to fraction form
    2,269/4,717 = 4,717/x
  3. Step 3: Cross multiply
    2,269x = 4,717 × 4,717
  4. Step 4: Simplify right side
    2,269x = 22,250,089
  5. Step 5: Solve for x
    x = 22,250,089/2,269
  6. Step 6: Final answer
    x = 9,806.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.