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Finding the Third Proportional to 6,512 and 9,306

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Solution

The third proportional to 6,512 and 9,306 is: 13,298.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512 : 9,306 = 9,306 : x
  2. Step 2: Convert to fraction form
    6,512/9,306 = 9,306/x
  3. Step 3: Cross multiply
    6,512x = 9,306 × 9,306
  4. Step 4: Simplify right side
    6,512x = 86,601,636
  5. Step 5: Solve for x
    x = 86,601,636/6,512
  6. Step 6: Final answer
    x = 13,298.78

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.