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Finding the Third Proportional to 5,642.44 and 8,463.94

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Solution

The third proportional to 5,642.44 and 8,463.94 is: 12,696.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.44 : 8,463.94 = 8,463.94 : x
  2. Step 2: Convert to fraction form
    5,642.44/8,463.94 = 8,463.94/x
  3. Step 3: Cross multiply
    5,642.44x = 8,463.94 × 8,463.94
  4. Step 4: Simplify right side
    5,642.44x = 71,638,238.00
  5. Step 5: Solve for x
    x = 71,638,238.00/5,642.44
  6. Step 6: Final answer
    x = 12,696.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.