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Finding the Third Proportional to 2,234 and 4,675

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Solution

The third proportional to 2,234 and 4,675 is: 9,783.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234 : 4,675 = 4,675 : x
  2. Step 2: Convert to fraction form
    2,234/4,675 = 4,675/x
  3. Step 3: Cross multiply
    2,234x = 4,675 × 4,675
  4. Step 4: Simplify right side
    2,234x = 21,855,625
  5. Step 5: Solve for x
    x = 21,855,625/2,234
  6. Step 6: Final answer
    x = 9,783.18

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.