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Finding the Third Proportional to 4,797.14 and 7,400.74

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Solution

The third proportional to 4,797.14 and 7,400.74 is: 11,417.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,797.14 : 7,400.74 = 7,400.74 : x
  2. Step 2: Convert to fraction form
    4,797.14/7,400.74 = 7,400.74/x
  3. Step 3: Cross multiply
    4,797.14x = 7,400.74 × 7,400.74
  4. Step 4: Simplify right side
    4,797.14x = 54,770,984.93
  5. Step 5: Solve for x
    x = 54,770,984.93/4,797.14
  6. Step 6: Final answer
    x = 11,417.42

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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.