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Finding the Third Proportional to 3,010.50 and 6,464.81

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Solution

The third proportional to 3,010.50 and 6,464.81 is: 13,882.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,010.50 : 6,464.81 = 6,464.81 : x
  2. Step 2: Convert to fraction form
    3,010.50/6,464.81 = 6,464.81/x
  3. Step 3: Cross multiply
    3,010.50x = 6,464.81 × 6,464.81
  4. Step 4: Simplify right side
    3,010.50x = 41,793,800.66
  5. Step 5: Solve for x
    x = 41,793,800.66/3,010.50
  6. Step 6: Final answer
    x = 13,882.68

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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.