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Finding the Third Proportional to 4,609 and 9,997

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Solution

The third proportional to 4,609 and 9,997 is: 21,683.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609 : 9,997 = 9,997 : x
  2. Step 2: Convert to fraction form
    4,609/9,997 = 9,997/x
  3. Step 3: Cross multiply
    4,609x = 9,997 × 9,997
  4. Step 4: Simplify right side
    4,609x = 99,940,009
  5. Step 5: Solve for x
    x = 99,940,009/4,609
  6. Step 6: Final answer
    x = 21,683.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.