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Finding the Third Proportional to 35,348.25 and 76,231.50

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Solution

The third proportional to 35,348.25 and 76,231.50 is: 164,399.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,348.25 : 76,231.50 = 76,231.50 : x
  2. Step 2: Convert to fraction form
    35,348.25/76,231.50 = 76,231.50/x
  3. Step 3: Cross multiply
    35,348.25x = 76,231.50 × 76,231.50
  4. Step 4: Simplify right side
    35,348.25x = 5,811,241,592.25
  5. Step 5: Solve for x
    x = 5,811,241,592.25/35,348.25
  6. Step 6: Final answer
    x = 164,399.70

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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.