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Finding the Third Proportional to 18,071.44 and 39,367.69

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Solution

The third proportional to 18,071.44 and 39,367.69 is: 85,760.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,071.44 : 39,367.69 = 39,367.69 : x
  2. Step 2: Convert to fraction form
    18,071.44/39,367.69 = 39,367.69/x
  3. Step 3: Cross multiply
    18,071.44x = 39,367.69 × 39,367.69
  4. Step 4: Simplify right side
    18,071.44x = 1,549,814,819.10
  5. Step 5: Solve for x
    x = 1,549,814,819.10/18,071.44
  6. Step 6: Final answer
    x = 85,760.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.