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Finding the Third Proportional to 5,743.69 and 9,215.44

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Solution

The third proportional to 5,743.69 and 9,215.44 is: 14,785.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743.69 : 9,215.44 = 9,215.44 : x
  2. Step 2: Convert to fraction form
    5,743.69/9,215.44 = 9,215.44/x
  3. Step 3: Cross multiply
    5,743.69x = 9,215.44 × 9,215.44
  4. Step 4: Simplify right side
    5,743.69x = 84,924,288.32
  5. Step 5: Solve for x
    x = 84,924,288.32/5,743.69
  6. Step 6: Final answer
    x = 14,785.67

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.