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Finding the Third Proportional to 7,936.31 and 16,928.16

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Solution

The third proportional to 7,936.31 and 16,928.16 is: 36,107.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,936.31 : 16,928.16 = 16,928.16 : x
  2. Step 2: Convert to fraction form
    7,936.31/16,928.16 = 16,928.16/x
  3. Step 3: Cross multiply
    7,936.31x = 16,928.16 × 16,928.16
  4. Step 4: Simplify right side
    7,936.31x = 286,562,474.02
  5. Step 5: Solve for x
    x = 286,562,474.02/7,936.31
  6. Step 6: Final answer
    x = 36,107.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.