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Finding the Third Proportional to 16,120 and 34,619

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Solution

The third proportional to 16,120 and 34,619 is: 74,347.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,120 : 34,619 = 34,619 : x
  2. Step 2: Convert to fraction form
    16,120/34,619 = 34,619/x
  3. Step 3: Cross multiply
    16,120x = 34,619 × 34,619
  4. Step 4: Simplify right side
    16,120x = 1,198,475,161
  5. Step 5: Solve for x
    x = 1,198,475,161/16,120
  6. Step 6: Final answer
    x = 74,347.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.