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Finding the Third Proportional to 30,922 and 67,540

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Solution

The third proportional to 30,922 and 67,540 is: 147,521.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,922 : 67,540 = 67,540 : x
  2. Step 2: Convert to fraction form
    30,922/67,540 = 67,540/x
  3. Step 3: Cross multiply
    30,922x = 67,540 × 67,540
  4. Step 4: Simplify right side
    30,922x = 4,561,651,600
  5. Step 5: Solve for x
    x = 4,561,651,600/30,922
  6. Step 6: Final answer
    x = 147,521.23

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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.