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Finding the Third Proportional to 5,664.94 and 8,235.42

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Solution

The third proportional to 5,664.94 and 8,235.42 is: 11,972.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.94 : 8,235.42 = 8,235.42 : x
  2. Step 2: Convert to fraction form
    5,664.94/8,235.42 = 8,235.42/x
  3. Step 3: Cross multiply
    5,664.94x = 8,235.42 × 8,235.42
  4. Step 4: Simplify right side
    5,664.94x = 67,822,173.46
  5. Step 5: Solve for x
    x = 67,822,173.46/5,664.94
  6. Step 6: Final answer
    x = 11,972.27

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.