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Finding the Third Proportional to 35,349.94 and 76,234.88

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Solution

The third proportional to 35,349.94 and 76,234.88 is: 164,406.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,349.94 : 76,234.88 = 76,234.88 : x
  2. Step 2: Convert to fraction form
    35,349.94/76,234.88 = 76,234.88/x
  3. Step 3: Cross multiply
    35,349.94x = 76,234.88 × 76,234.88
  4. Step 4: Simplify right side
    35,349.94x = 5,811,756,166.27
  5. Step 5: Solve for x
    x = 5,811,756,166.27/35,349.94
  6. Step 6: Final answer
    x = 164,406.41

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.