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Finding the Third Proportional to 5,602 and 11,665

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Solution

The third proportional to 5,602 and 11,665 is: 24,289.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,602 : 11,665 = 11,665 : x
  2. Step 2: Convert to fraction form
    5,602/11,665 = 11,665/x
  3. Step 3: Cross multiply
    5,602x = 11,665 × 11,665
  4. Step 4: Simplify right side
    5,602x = 136,072,225
  5. Step 5: Solve for x
    x = 136,072,225/5,602
  6. Step 6: Final answer
    x = 24,289.94

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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.