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Finding the Third Proportional to 16,122 and 34,689

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Solution

The third proportional to 16,122 and 34,689 is: 74,638.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,122 : 34,689 = 34,689 : x
  2. Step 2: Convert to fraction form
    16,122/34,689 = 34,689/x
  3. Step 3: Cross multiply
    16,122x = 34,689 × 34,689
  4. Step 4: Simplify right side
    16,122x = 1,203,326,721
  5. Step 5: Solve for x
    x = 1,203,326,721/16,122
  6. Step 6: Final answer
    x = 74,638.80

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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.