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Finding the Third Proportional to 5,204.25 and 8,216.44

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Solution

The third proportional to 5,204.25 and 8,216.44 is: 12,972.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.25 : 8,216.44 = 8,216.44 : x
  2. Step 2: Convert to fraction form
    5,204.25/8,216.44 = 8,216.44/x
  3. Step 3: Cross multiply
    5,204.25x = 8,216.44 × 8,216.44
  4. Step 4: Simplify right side
    5,204.25x = 67,509,845.19
  5. Step 5: Solve for x
    x = 67,509,845.19/5,204.25
  6. Step 6: Final answer
    x = 12,972.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.