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Finding the Third Proportional to 4,796.44 and 10,348.88

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Solution

The third proportional to 4,796.44 and 10,348.88 is: 22,328.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,796.44 : 10,348.88 = 10,348.88 : x
  2. Step 2: Convert to fraction form
    4,796.44/10,348.88 = 10,348.88/x
  3. Step 3: Cross multiply
    4,796.44x = 10,348.88 × 10,348.88
  4. Step 4: Simplify right side
    4,796.44x = 107,099,213.77
  5. Step 5: Solve for x
    x = 107,099,213.77/4,796.44
  6. Step 6: Final answer
    x = 22,328.91

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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.