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Finding the Third Proportional to 4,011 and 8,484

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Solution

The third proportional to 4,011 and 8,484 is: 17,945.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,011 : 8,484 = 8,484 : x
  2. Step 2: Convert to fraction form
    4,011/8,484 = 8,484/x
  3. Step 3: Cross multiply
    4,011x = 8,484 × 8,484
  4. Step 4: Simplify right side
    4,011x = 71,978,256
  5. Step 5: Solve for x
    x = 71,978,256/4,011
  6. Step 6: Final answer
    x = 17,945.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.