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Finding the Third Proportional to 5,195.25 and 7,847.44

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Solution

The third proportional to 5,195.25 and 7,847.44 is: 11,853.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,195.25 : 7,847.44 = 7,847.44 : x
  2. Step 2: Convert to fraction form
    5,195.25/7,847.44 = 7,847.44/x
  3. Step 3: Cross multiply
    5,195.25x = 7,847.44 × 7,847.44
  4. Step 4: Simplify right side
    5,195.25x = 61,582,275.32
  5. Step 5: Solve for x
    x = 61,582,275.32/5,195.25
  6. Step 6: Final answer
    x = 11,853.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.