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Finding the Third Proportional to 18,829.88 and 40,575.38

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Solution

The third proportional to 18,829.88 and 40,575.38 is: 87,433.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,829.88 : 40,575.38 = 40,575.38 : x
  2. Step 2: Convert to fraction form
    18,829.88/40,575.38 = 40,575.38/x
  3. Step 3: Cross multiply
    18,829.88x = 40,575.38 × 40,575.38
  4. Step 4: Simplify right side
    18,829.88x = 1,646,361,056.39
  5. Step 5: Solve for x
    x = 1,646,361,056.39/18,829.88
  6. Step 6: Final answer
    x = 87,433.46

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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.