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Finding the Third Proportional to 30,372 and 66,593

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Solution

The third proportional to 30,372 and 66,593 is: 146,010.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,372 : 66,593 = 66,593 : x
  2. Step 2: Convert to fraction form
    30,372/66,593 = 66,593/x
  3. Step 3: Cross multiply
    30,372x = 66,593 × 66,593
  4. Step 4: Simplify right side
    30,372x = 4,434,627,649
  5. Step 5: Solve for x
    x = 4,434,627,649/30,372
  6. Step 6: Final answer
    x = 146,010.39

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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.