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Finding the Third Proportional to 30,568 and 67,040

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Solution

The third proportional to 30,568 and 67,040 is: 147,028.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,568 : 67,040 = 67,040 : x
  2. Step 2: Convert to fraction form
    30,568/67,040 = 67,040/x
  3. Step 3: Cross multiply
    30,568x = 67,040 × 67,040
  4. Step 4: Simplify right side
    30,568x = 4,494,361,600
  5. Step 5: Solve for x
    x = 4,494,361,600/30,568
  6. Step 6: Final answer
    x = 147,028.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.