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Finding the Third Proportional to 5,363.94 and 8,015.47

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Solution

The third proportional to 5,363.94 and 8,015.47 is: 11,977.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,363.94 : 8,015.47 = 8,015.47 : x
  2. Step 2: Convert to fraction form
    5,363.94/8,015.47 = 8,015.47/x
  3. Step 3: Cross multiply
    5,363.94x = 8,015.47 × 8,015.47
  4. Step 4: Simplify right side
    5,363.94x = 64,247,739.28
  5. Step 5: Solve for x
    x = 64,247,739.28/5,363.94
  6. Step 6: Final answer
    x = 11,977.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.