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Finding the Third Proportional to 6,665.25 and 8,944.13

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Solution

The third proportional to 6,665.25 and 8,944.13 is: 12,002.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,665.25 : 8,944.13 = 8,944.13 : x
  2. Step 2: Convert to fraction form
    6,665.25/8,944.13 = 8,944.13/x
  3. Step 3: Cross multiply
    6,665.25x = 8,944.13 × 8,944.13
  4. Step 4: Simplify right side
    6,665.25x = 79,997,372.02
  5. Step 5: Solve for x
    x = 79,997,372.02/6,665.25
  6. Step 6: Final answer
    x = 12,002.16

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.