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Finding the Third Proportional to 30,372.75 and 70,941

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Solution

The third proportional to 30,372.75 and 70,941 is: 165,695.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,372.75 : 70,941 = 70,941 : x
  2. Step 2: Convert to fraction form
    30,372.75/70,941 = 70,941/x
  3. Step 3: Cross multiply
    30,372.75x = 70,941 × 70,941
  4. Step 4: Simplify right side
    30,372.75x = 5,032,625,481
  5. Step 5: Solve for x
    x = 5,032,625,481/30,372.75
  6. Step 6: Final answer
    x = 165,695.42

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.