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Finding the Third Proportional to 5,972.06 and 8,352.84

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Solution

The third proportional to 5,972.06 and 8,352.84 is: 11,682.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972.06 : 8,352.84 = 8,352.84 : x
  2. Step 2: Convert to fraction form
    5,972.06/8,352.84 = 8,352.84/x
  3. Step 3: Cross multiply
    5,972.06x = 8,352.84 × 8,352.84
  4. Step 4: Simplify right side
    5,972.06x = 69,769,998.71
  5. Step 5: Solve for x
    x = 69,769,998.71/5,972.06
  6. Step 6: Final answer
    x = 11,682.73

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.