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Finding the Third Proportional to 4,814.44 and 7,002.28

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Solution

The third proportional to 4,814.44 and 7,002.28 is: 10,184.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,814.44 : 7,002.28 = 7,002.28 : x
  2. Step 2: Convert to fraction form
    4,814.44/7,002.28 = 7,002.28/x
  3. Step 3: Cross multiply
    4,814.44x = 7,002.28 × 7,002.28
  4. Step 4: Simplify right side
    4,814.44x = 49,031,942.70
  5. Step 5: Solve for x
    x = 49,031,942.70/4,814.44
  6. Step 6: Final answer
    x = 10,184.36

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.