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Finding the Third Proportional to 5,698.69 and 8,002.97

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Solution

The third proportional to 5,698.69 and 8,002.97 is: 11,238.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.69 : 8,002.97 = 8,002.97 : x
  2. Step 2: Convert to fraction form
    5,698.69/8,002.97 = 8,002.97/x
  3. Step 3: Cross multiply
    5,698.69x = 8,002.97 × 8,002.97
  4. Step 4: Simplify right side
    5,698.69x = 64,047,508.81
  5. Step 5: Solve for x
    x = 64,047,508.81/5,698.69
  6. Step 6: Final answer
    x = 11,238.99

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.