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Finding the Third Proportional to 30,728 and 66,127

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Solution

The third proportional to 30,728 and 66,127 is: 142,306.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,728 : 66,127 = 66,127 : x
  2. Step 2: Convert to fraction form
    30,728/66,127 = 66,127/x
  3. Step 3: Cross multiply
    30,728x = 66,127 × 66,127
  4. Step 4: Simplify right side
    30,728x = 4,372,780,129
  5. Step 5: Solve for x
    x = 4,372,780,129/30,728
  6. Step 6: Final answer
    x = 142,306.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.