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Finding the Third Proportional to 4,650.43 and 10,174.15

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Solution

The third proportional to 4,650.43 and 10,174.15 is: 22,258.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,650.43 : 10,174.15 = 10,174.15 : x
  2. Step 2: Convert to fraction form
    4,650.43/10,174.15 = 10,174.15/x
  3. Step 3: Cross multiply
    4,650.43x = 10,174.15 × 10,174.15
  4. Step 4: Simplify right side
    4,650.43x = 103,513,296.43
  5. Step 5: Solve for x
    x = 103,513,296.43/4,650.43
  6. Step 6: Final answer
    x = 22,258.85

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.