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Finding the Third Proportional to 4,741.03 and 10,299.66

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Solution

The third proportional to 4,741.03 and 10,299.66 is: 22,375.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,741.03 : 10,299.66 = 10,299.66 : x
  2. Step 2: Convert to fraction form
    4,741.03/10,299.66 = 10,299.66/x
  3. Step 3: Cross multiply
    4,741.03x = 10,299.66 × 10,299.66
  4. Step 4: Simplify right side
    4,741.03x = 106,082,918.87
  5. Step 5: Solve for x
    x = 106,082,918.87/4,741.03
  6. Step 6: Final answer
    x = 22,375.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.