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Finding the Third Proportional to 35,624.18 and 76,226.06

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Solution

The third proportional to 35,624.18 and 76,226.06 is: 163,103.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,624.18 : 76,226.06 = 76,226.06 : x
  2. Step 2: Convert to fraction form
    35,624.18/76,226.06 = 76,226.06/x
  3. Step 3: Cross multiply
    35,624.18x = 76,226.06 × 76,226.06
  4. Step 4: Simplify right side
    35,624.18x = 5,810,412,604.25
  5. Step 5: Solve for x
    x = 5,810,412,604.25/35,624.18
  6. Step 6: Final answer
    x = 163,103.06

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.