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Finding the Third Proportional to 5,319.42 and 11,458.97

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Solution

The third proportional to 5,319.42 and 11,458.97 is: 24,684.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,319.42 : 11,458.97 = 11,458.97 : x
  2. Step 2: Convert to fraction form
    5,319.42/11,458.97 = 11,458.97/x
  3. Step 3: Cross multiply
    5,319.42x = 11,458.97 × 11,458.97
  4. Step 4: Simplify right side
    5,319.42x = 131,307,964.81
  5. Step 5: Solve for x
    x = 131,307,964.81/5,319.42
  6. Step 6: Final answer
    x = 24,684.63

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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.