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Finding the Third Proportional to 33,690 and 70,760

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Solution

The third proportional to 33,690 and 70,760 is: 148,619.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,690 : 70,760 = 70,760 : x
  2. Step 2: Convert to fraction form
    33,690/70,760 = 70,760/x
  3. Step 3: Cross multiply
    33,690x = 70,760 × 70,760
  4. Step 4: Simplify right side
    33,690x = 5,006,977,600
  5. Step 5: Solve for x
    x = 5,006,977,600/33,690
  6. Step 6: Final answer
    x = 148,619.10

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.