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Finding the Third Proportional to 30,222.14 and 46,601.86

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Solution

The third proportional to 30,222.14 and 46,601.86 is: 71,859.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,222.14 : 46,601.86 = 46,601.86 : x
  2. Step 2: Convert to fraction form
    30,222.14/46,601.86 = 46,601.86/x
  3. Step 3: Cross multiply
    30,222.14x = 46,601.86 × 46,601.86
  4. Step 4: Simplify right side
    30,222.14x = 2,171,733,297.21
  5. Step 5: Solve for x
    x = 2,171,733,297.21/30,222.14
  6. Step 6: Final answer
    x = 71,859.02

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.