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Finding the Third Proportional to 6,784 and 9,152

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Solution

The third proportional to 6,784 and 9,152 is: 12,346.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784 : 9,152 = 9,152 : x
  2. Step 2: Convert to fraction form
    6,784/9,152 = 9,152/x
  3. Step 3: Cross multiply
    6,784x = 9,152 × 9,152
  4. Step 4: Simplify right side
    6,784x = 83,759,104
  5. Step 5: Solve for x
    x = 83,759,104/6,784
  6. Step 6: Final answer
    x = 12,346.57

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.