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Finding the Third Proportional to 4,114 and 9,049

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Solution

The third proportional to 4,114 and 9,049 is: 19,903.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114 : 9,049 = 9,049 : x
  2. Step 2: Convert to fraction form
    4,114/9,049 = 9,049/x
  3. Step 3: Cross multiply
    4,114x = 9,049 × 9,049
  4. Step 4: Simplify right side
    4,114x = 81,884,401
  5. Step 5: Solve for x
    x = 81,884,401/4,114
  6. Step 6: Final answer
    x = 19,903.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.