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Finding the Third Proportional to 30,904 and 66,728

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Solution

The third proportional to 30,904 and 66,728 is: 144,079.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,904 : 66,728 = 66,728 : x
  2. Step 2: Convert to fraction form
    30,904/66,728 = 66,728/x
  3. Step 3: Cross multiply
    30,904x = 66,728 × 66,728
  4. Step 4: Simplify right side
    30,904x = 4,452,625,984
  5. Step 5: Solve for x
    x = 4,452,625,984/30,904
  6. Step 6: Final answer
    x = 144,079.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.