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Finding the Third Proportional to 4,796.72 and 7,400.11

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Solution

The third proportional to 4,796.72 and 7,400.11 is: 11,416.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,796.72 : 7,400.11 = 7,400.11 : x
  2. Step 2: Convert to fraction form
    4,796.72/7,400.11 = 7,400.11/x
  3. Step 3: Cross multiply
    4,796.72x = 7,400.11 × 7,400.11
  4. Step 4: Simplify right side
    4,796.72x = 54,761,618.76
  5. Step 5: Solve for x
    x = 54,761,618.76/4,796.72
  6. Step 6: Final answer
    x = 11,416.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.