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Finding the Third Proportional to 16,413 and 35,162

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Solution

The third proportional to 16,413 and 35,162 is: 75,328.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,413 : 35,162 = 35,162 : x
  2. Step 2: Convert to fraction form
    16,413/35,162 = 35,162/x
  3. Step 3: Cross multiply
    16,413x = 35,162 × 35,162
  4. Step 4: Simplify right side
    16,413x = 1,236,366,244
  5. Step 5: Solve for x
    x = 1,236,366,244/16,413
  6. Step 6: Final answer
    x = 75,328.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.