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Finding the Third Proportional to 4,694.69 and 9,519.02

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Solution

The third proportional to 4,694.69 and 9,519.02 is: 19,300.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.69 : 9,519.02 = 9,519.02 : x
  2. Step 2: Convert to fraction form
    4,694.69/9,519.02 = 9,519.02/x
  3. Step 3: Cross multiply
    4,694.69x = 9,519.02 × 9,519.02
  4. Step 4: Simplify right side
    4,694.69x = 90,611,658.47
  5. Step 5: Solve for x
    x = 90,611,658.47/4,694.69
  6. Step 6: Final answer
    x = 19,300.89

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.