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Finding the Third Proportional to 30,521.81 and 64,369.69

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Solution

The third proportional to 30,521.81 and 64,369.69 is: 135,753.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,521.81 : 64,369.69 = 64,369.69 : x
  2. Step 2: Convert to fraction form
    30,521.81/64,369.69 = 64,369.69/x
  3. Step 3: Cross multiply
    30,521.81x = 64,369.69 × 64,369.69
  4. Step 4: Simplify right side
    30,521.81x = 4,143,456,668.85
  5. Step 5: Solve for x
    x = 4,143,456,668.85/30,521.81
  6. Step 6: Final answer
    x = 135,753.95

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.