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Finding the Third Proportional to 4,063.50 and 6,464.81

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Solution

The third proportional to 4,063.50 and 6,464.81 is: 10,285.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,063.50 : 6,464.81 = 6,464.81 : x
  2. Step 2: Convert to fraction form
    4,063.50/6,464.81 = 6,464.81/x
  3. Step 3: Cross multiply
    4,063.50x = 6,464.81 × 6,464.81
  4. Step 4: Simplify right side
    4,063.50x = 41,793,800.66
  5. Step 5: Solve for x
    x = 41,793,800.66/4,063.50
  6. Step 6: Final answer
    x = 10,285.17

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.