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Finding the Third Proportional to 2,958.71 and 6,324.64

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Solution

The third proportional to 2,958.71 and 6,324.64 is: 13,519.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,958.71 : 6,324.64 = 6,324.64 : x
  2. Step 2: Convert to fraction form
    2,958.71/6,324.64 = 6,324.64/x
  3. Step 3: Cross multiply
    2,958.71x = 6,324.64 × 6,324.64
  4. Step 4: Simplify right side
    2,958.71x = 40,001,128.45
  5. Step 5: Solve for x
    x = 40,001,128.45/2,958.71
  6. Step 6: Final answer
    x = 13,519.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.