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Finding the Third Proportional to 30,367.41 and 45,334.69

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Solution

The third proportional to 30,367.41 and 45,334.69 is: 67,678.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,367.41 : 45,334.69 = 45,334.69 : x
  2. Step 2: Convert to fraction form
    30,367.41/45,334.69 = 45,334.69/x
  3. Step 3: Cross multiply
    30,367.41x = 45,334.69 × 45,334.69
  4. Step 4: Simplify right side
    30,367.41x = 2,055,233,890.72
  5. Step 5: Solve for x
    x = 2,055,233,890.72/30,367.41
  6. Step 6: Final answer
    x = 67,678.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.