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Finding the Third Proportional to 18,829.69 and 40,575.38

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Solution

The third proportional to 18,829.69 and 40,575.38 is: 87,434.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,829.69 : 40,575.38 = 40,575.38 : x
  2. Step 2: Convert to fraction form
    18,829.69/40,575.38 = 40,575.38/x
  3. Step 3: Cross multiply
    18,829.69x = 40,575.38 × 40,575.38
  4. Step 4: Simplify right side
    18,829.69x = 1,646,361,056.39
  5. Step 5: Solve for x
    x = 1,646,361,056.39/18,829.69
  6. Step 6: Final answer
    x = 87,434.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.