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Finding the Third Proportional to 35,103.38 and 76,767.75

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Solution

The third proportional to 35,103.38 and 76,767.75 is: 167,883.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,103.38 : 76,767.75 = 76,767.75 : x
  2. Step 2: Convert to fraction form
    35,103.38/76,767.75 = 76,767.75/x
  3. Step 3: Cross multiply
    35,103.38x = 76,767.75 × 76,767.75
  4. Step 4: Simplify right side
    35,103.38x = 5,893,287,440.06
  5. Step 5: Solve for x
    x = 5,893,287,440.06/35,103.38
  6. Step 6: Final answer
    x = 167,883.78

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.