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Finding the Third Proportional to 3,215.32 and 6,753.80

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Solution

The third proportional to 3,215.32 and 6,753.80 is: 14,186.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,215.32 : 6,753.80 = 6,753.80 : x
  2. Step 2: Convert to fraction form
    3,215.32/6,753.80 = 6,753.80/x
  3. Step 3: Cross multiply
    3,215.32x = 6,753.80 × 6,753.80
  4. Step 4: Simplify right side
    3,215.32x = 45,613,772.23
  5. Step 5: Solve for x
    x = 45,613,772.23/3,215.32
  6. Step 6: Final answer
    x = 14,186.39

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.