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Finding the Third Proportional to 5,406.75 and 8,942.06

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Solution

The third proportional to 5,406.75 and 8,942.06 is: 14,789.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.75 : 8,942.06 = 8,942.06 : x
  2. Step 2: Convert to fraction form
    5,406.75/8,942.06 = 8,942.06/x
  3. Step 3: Cross multiply
    5,406.75x = 8,942.06 × 8,942.06
  4. Step 4: Simplify right side
    5,406.75x = 79,960,481.75
  5. Step 5: Solve for x
    x = 79,960,481.75/5,406.75
  6. Step 6: Final answer
    x = 14,789.01

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.