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Finding the Third Proportional to 4,330.13 and 10,119.09

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Solution

The third proportional to 4,330.13 and 10,119.09 is: 23,647.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,330.13 : 10,119.09 = 10,119.09 : x
  2. Step 2: Convert to fraction form
    4,330.13/10,119.09 = 10,119.09/x
  3. Step 3: Cross multiply
    4,330.13x = 10,119.09 × 10,119.09
  4. Step 4: Simplify right side
    4,330.13x = 102,396,058.32
  5. Step 5: Solve for x
    x = 102,396,058.32/4,330.13
  6. Step 6: Final answer
    x = 23,647.37

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.