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Finding the Third Proportional to 3,971.53 and 6,997.64

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Solution

The third proportional to 3,971.53 and 6,997.64 is: 12,329.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.53 : 6,997.64 = 6,997.64 : x
  2. Step 2: Convert to fraction form
    3,971.53/6,997.64 = 6,997.64/x
  3. Step 3: Cross multiply
    3,971.53x = 6,997.64 × 6,997.64
  4. Step 4: Simplify right side
    3,971.53x = 48,966,974.32
  5. Step 5: Solve for x
    x = 48,966,974.32/3,971.53
  6. Step 6: Final answer
    x = 12,329.49

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.