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Finding the Third Proportional to 35,743.78 and 76,233.66

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Solution

The third proportional to 35,743.78 and 76,233.66 is: 162,589.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,743.78 : 76,233.66 = 76,233.66 : x
  2. Step 2: Convert to fraction form
    35,743.78/76,233.66 = 76,233.66/x
  3. Step 3: Cross multiply
    35,743.78x = 76,233.66 × 76,233.66
  4. Step 4: Simplify right side
    35,743.78x = 5,811,570,345.24
  5. Step 5: Solve for x
    x = 5,811,570,345.24/35,743.78
  6. Step 6: Final answer
    x = 162,589.69

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.