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Finding the Third Proportional to 6,512 and 9,565

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Solution

The third proportional to 6,512 and 9,565 is: 14,049.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512 : 9,565 = 9,565 : x
  2. Step 2: Convert to fraction form
    6,512/9,565 = 9,565/x
  3. Step 3: Cross multiply
    6,512x = 9,565 × 9,565
  4. Step 4: Simplify right side
    6,512x = 91,489,225
  5. Step 5: Solve for x
    x = 91,489,225/6,512
  6. Step 6: Final answer
    x = 14,049.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.