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Finding the Third Proportional to 2,304 and 3,665

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Solution

The third proportional to 2,304 and 3,665 is: 5,829.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304 : 3,665 = 3,665 : x
  2. Step 2: Convert to fraction form
    2,304/3,665 = 3,665/x
  3. Step 3: Cross multiply
    2,304x = 3,665 × 3,665
  4. Step 4: Simplify right side
    2,304x = 13,432,225
  5. Step 5: Solve for x
    x = 13,432,225/2,304
  6. Step 6: Final answer
    x = 5,829.96

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.