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Finding the Third Proportional to 4,006 and 9,484

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Solution

The third proportional to 4,006 and 9,484 is: 22,452.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,006 : 9,484 = 9,484 : x
  2. Step 2: Convert to fraction form
    4,006/9,484 = 9,484/x
  3. Step 3: Cross multiply
    4,006x = 9,484 × 9,484
  4. Step 4: Simplify right side
    4,006x = 89,946,256
  5. Step 5: Solve for x
    x = 89,946,256/4,006
  6. Step 6: Final answer
    x = 22,452.88

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.