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Finding the Third Proportional to 5,194.25 and 8,257.25

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Solution

The third proportional to 5,194.25 and 8,257.25 is: 13,126.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.25 : 8,257.25 = 8,257.25 : x
  2. Step 2: Convert to fraction form
    5,194.25/8,257.25 = 8,257.25/x
  3. Step 3: Cross multiply
    5,194.25x = 8,257.25 × 8,257.25
  4. Step 4: Simplify right side
    5,194.25x = 68,182,177.56
  5. Step 5: Solve for x
    x = 68,182,177.56/5,194.25
  6. Step 6: Final answer
    x = 13,126.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.