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Finding the Third Proportional to 14,181.33 and 30,849.61

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Solution

The third proportional to 14,181.33 and 30,849.61 is: 67,109.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,181.33 : 30,849.61 = 30,849.61 : x
  2. Step 2: Convert to fraction form
    14,181.33/30,849.61 = 30,849.61/x
  3. Step 3: Cross multiply
    14,181.33x = 30,849.61 × 30,849.61
  4. Step 4: Simplify right side
    14,181.33x = 951,698,398.59
  5. Step 5: Solve for x
    x = 951,698,398.59/14,181.33
  6. Step 6: Final answer
    x = 67,109.26

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.