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Finding the Third Proportional to 5,904.89 and 12,961.64

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Solution

The third proportional to 5,904.89 and 12,961.64 is: 28,451.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,904.89 : 12,961.64 = 12,961.64 : x
  2. Step 2: Convert to fraction form
    5,904.89/12,961.64 = 12,961.64/x
  3. Step 3: Cross multiply
    5,904.89x = 12,961.64 × 12,961.64
  4. Step 4: Simplify right side
    5,904.89x = 168,004,127.69
  5. Step 5: Solve for x
    x = 168,004,127.69/5,904.89
  6. Step 6: Final answer
    x = 28,451.69

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