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Finding the Third Proportional to 30,815.44 and 67,181.91

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Solution

The third proportional to 30,815.44 and 67,181.91 is: 146,465.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,815.44 : 67,181.91 = 67,181.91 : x
  2. Step 2: Convert to fraction form
    30,815.44/67,181.91 = 67,181.91/x
  3. Step 3: Cross multiply
    30,815.44x = 67,181.91 × 67,181.91
  4. Step 4: Simplify right side
    30,815.44x = 4,513,408,527.38
  5. Step 5: Solve for x
    x = 4,513,408,527.38/30,815.44
  6. Step 6: Final answer
    x = 146,465.83

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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.