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Finding the Third Proportional to 6,784 and 12,832

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Solution

The third proportional to 6,784 and 12,832 is: 24,271.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784 : 12,832 = 12,832 : x
  2. Step 2: Convert to fraction form
    6,784/12,832 = 12,832/x
  3. Step 3: Cross multiply
    6,784x = 12,832 × 12,832
  4. Step 4: Simplify right side
    6,784x = 164,660,224
  5. Step 5: Solve for x
    x = 164,660,224/6,784
  6. Step 6: Final answer
    x = 24,271.85

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.