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Finding the Third Proportional to 6,512 and 9,722

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Solution

The third proportional to 6,512 and 9,722 is: 14,514.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512 : 9,722 = 9,722 : x
  2. Step 2: Convert to fraction form
    6,512/9,722 = 9,722/x
  3. Step 3: Cross multiply
    6,512x = 9,722 × 9,722
  4. Step 4: Simplify right side
    6,512x = 94,517,284
  5. Step 5: Solve for x
    x = 94,517,284/6,512
  6. Step 6: Final answer
    x = 14,514.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.