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Finding the Third Proportional to 34,662 and 75,660

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Solution

The third proportional to 34,662 and 75,660 is: 165,150.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,662 : 75,660 = 75,660 : x
  2. Step 2: Convert to fraction form
    34,662/75,660 = 75,660/x
  3. Step 3: Cross multiply
    34,662x = 75,660 × 75,660
  4. Step 4: Simplify right side
    34,662x = 5,724,435,600
  5. Step 5: Solve for x
    x = 5,724,435,600/34,662
  6. Step 6: Final answer
    x = 165,150.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.