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Finding the Third Proportional to 6,784 and 9,216

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Solution

The third proportional to 6,784 and 9,216 is: 12,519.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784 : 9,216 = 9,216 : x
  2. Step 2: Convert to fraction form
    6,784/9,216 = 9,216/x
  3. Step 3: Cross multiply
    6,784x = 9,216 × 9,216
  4. Step 4: Simplify right side
    6,784x = 84,934,656
  5. Step 5: Solve for x
    x = 84,934,656/6,784
  6. Step 6: Final answer
    x = 12,519.85

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.