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Finding the Third Proportional to 7,392.66 and 16,015.78

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Solution

The third proportional to 7,392.66 and 16,015.78 is: 34,697.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,392.66 : 16,015.78 = 16,015.78 : x
  2. Step 2: Convert to fraction form
    7,392.66/16,015.78 = 16,015.78/x
  3. Step 3: Cross multiply
    7,392.66x = 16,015.78 × 16,015.78
  4. Step 4: Simplify right side
    7,392.66x = 256,505,249.05
  5. Step 5: Solve for x
    x = 256,505,249.05/7,392.66
  6. Step 6: Final answer
    x = 34,697.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.