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Finding the Third Proportional to 34,869 and 75,533

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Solution

The third proportional to 34,869 and 75,533 is: 163,619.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,869 : 75,533 = 75,533 : x
  2. Step 2: Convert to fraction form
    34,869/75,533 = 75,533/x
  3. Step 3: Cross multiply
    34,869x = 75,533 × 75,533
  4. Step 4: Simplify right side
    34,869x = 5,705,234,089
  5. Step 5: Solve for x
    x = 5,705,234,089/34,869
  6. Step 6: Final answer
    x = 163,619.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.