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Finding the Third Proportional to 6,446.25 and 13,944.94

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Solution

The third proportional to 6,446.25 and 13,944.94 is: 30,166.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.25 : 13,944.94 = 13,944.94 : x
  2. Step 2: Convert to fraction form
    6,446.25/13,944.94 = 13,944.94/x
  3. Step 3: Cross multiply
    6,446.25x = 13,944.94 × 13,944.94
  4. Step 4: Simplify right side
    6,446.25x = 194,461,281.88
  5. Step 5: Solve for x
    x = 194,461,281.88/6,446.25
  6. Step 6: Final answer
    x = 30,166.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.