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Finding the Third Proportional to 6,864 and 9,321

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Solution

The third proportional to 6,864 and 9,321 is: 12,657.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864 : 9,321 = 9,321 : x
  2. Step 2: Convert to fraction form
    6,864/9,321 = 9,321/x
  3. Step 3: Cross multiply
    6,864x = 9,321 × 9,321
  4. Step 4: Simplify right side
    6,864x = 86,881,041
  5. Step 5: Solve for x
    x = 86,881,041/6,864
  6. Step 6: Final answer
    x = 12,657.49

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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.