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Finding the Third Proportional to 6,820 and 9,165

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Solution

The third proportional to 6,820 and 9,165 is: 12,316.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820 : 9,165 = 9,165 : x
  2. Step 2: Convert to fraction form
    6,820/9,165 = 9,165/x
  3. Step 3: Cross multiply
    6,820x = 9,165 × 9,165
  4. Step 4: Simplify right side
    6,820x = 83,997,225
  5. Step 5: Solve for x
    x = 83,997,225/6,820
  6. Step 6: Final answer
    x = 12,316.31

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.