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Finding the Third Proportional to 4,206 and 6,665

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Solution

The third proportional to 4,206 and 6,665 is: 10,561.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206 : 6,665 = 6,665 : x
  2. Step 2: Convert to fraction form
    4,206/6,665 = 6,665/x
  3. Step 3: Cross multiply
    4,206x = 6,665 × 6,665
  4. Step 4: Simplify right side
    4,206x = 44,422,225
  5. Step 5: Solve for x
    x = 44,422,225/4,206
  6. Step 6: Final answer
    x = 10,561.63

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.