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Finding the Third Proportional to 4,844.39 and 10,463.34

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Solution

The third proportional to 4,844.39 and 10,463.34 is: 22,599.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,844.39 : 10,463.34 = 10,463.34 : x
  2. Step 2: Convert to fraction form
    4,844.39/10,463.34 = 10,463.34/x
  3. Step 3: Cross multiply
    4,844.39x = 10,463.34 × 10,463.34
  4. Step 4: Simplify right side
    4,844.39x = 109,481,562.43
  5. Step 5: Solve for x
    x = 109,481,562.43/4,844.39
  6. Step 6: Final answer
    x = 22,599.66

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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.