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Finding the Third Proportional to 4,186.05 and 9,013.15

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Solution

The third proportional to 4,186.05 and 9,013.15 is: 19,406.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,186.05 : 9,013.15 = 9,013.15 : x
  2. Step 2: Convert to fraction form
    4,186.05/9,013.15 = 9,013.15/x
  3. Step 3: Cross multiply
    4,186.05x = 9,013.15 × 9,013.15
  4. Step 4: Simplify right side
    4,186.05x = 81,236,844.76
  5. Step 5: Solve for x
    x = 81,236,844.76/4,186.05
  6. Step 6: Final answer
    x = 19,406.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.