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Finding the Third Proportional to 35,189.44 and 76,575.38

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Solution

The third proportional to 35,189.44 and 76,575.38 is: 166,634.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,189.44 : 76,575.38 = 76,575.38 : x
  2. Step 2: Convert to fraction form
    35,189.44/76,575.38 = 76,575.38/x
  3. Step 3: Cross multiply
    35,189.44x = 76,575.38 × 76,575.38
  4. Step 4: Simplify right side
    35,189.44x = 5,863,788,056.39
  5. Step 5: Solve for x
    x = 5,863,788,056.39/35,189.44
  6. Step 6: Final answer
    x = 166,634.89

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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.