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Finding the Third Proportional to 4,463.25 and 6,564.75

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Solution

The third proportional to 4,463.25 and 6,564.75 is: 9,655.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,463.25 : 6,564.75 = 6,564.75 : x
  2. Step 2: Convert to fraction form
    4,463.25/6,564.75 = 6,564.75/x
  3. Step 3: Cross multiply
    4,463.25x = 6,564.75 × 6,564.75
  4. Step 4: Simplify right side
    4,463.25x = 43,095,942.56
  5. Step 5: Solve for x
    x = 43,095,942.56/4,463.25
  6. Step 6: Final answer
    x = 9,655.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.