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Finding the Third Proportional to 2,362 and 4,665

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Solution

The third proportional to 2,362 and 4,665 is: 9,213.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362 : 4,665 = 4,665 : x
  2. Step 2: Convert to fraction form
    2,362/4,665 = 4,665/x
  3. Step 3: Cross multiply
    2,362x = 4,665 × 4,665
  4. Step 4: Simplify right side
    2,362x = 21,762,225
  5. Step 5: Solve for x
    x = 21,762,225/2,362
  6. Step 6: Final answer
    x = 9,213.47

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.