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Finding the Third Proportional to 35,016.75 and 52,401.38

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Solution

The third proportional to 35,016.75 and 52,401.38 is: 78,416.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,016.75 : 52,401.38 = 52,401.38 : x
  2. Step 2: Convert to fraction form
    35,016.75/52,401.38 = 52,401.38/x
  3. Step 3: Cross multiply
    35,016.75x = 52,401.38 × 52,401.38
  4. Step 4: Simplify right side
    35,016.75x = 2,745,904,101.89
  5. Step 5: Solve for x
    x = 2,745,904,101.89/35,016.75
  6. Step 6: Final answer
    x = 78,416.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.