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Finding the Third Proportional to 4,600.97 and 9,937.69

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Solution

The third proportional to 4,600.97 and 9,937.69 is: 21,464.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.97 : 9,937.69 = 9,937.69 : x
  2. Step 2: Convert to fraction form
    4,600.97/9,937.69 = 9,937.69/x
  3. Step 3: Cross multiply
    4,600.97x = 9,937.69 × 9,937.69
  4. Step 4: Simplify right side
    4,600.97x = 98,757,632.85
  5. Step 5: Solve for x
    x = 98,757,632.85/4,600.97
  6. Step 6: Final answer
    x = 21,464.53

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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.