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Finding the Third Proportional to 30,728 and 67,336

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Solution

The third proportional to 30,728 and 67,336 is: 147,557.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,728 : 67,336 = 67,336 : x
  2. Step 2: Convert to fraction form
    30,728/67,336 = 67,336/x
  3. Step 3: Cross multiply
    30,728x = 67,336 × 67,336
  4. Step 4: Simplify right side
    30,728x = 4,534,136,896
  5. Step 5: Solve for x
    x = 4,534,136,896/30,728
  6. Step 6: Final answer
    x = 147,557.18

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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.