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Finding the Third Proportional to 16,206 and 35,421

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Solution

The third proportional to 16,206 and 35,421 is: 77,418.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,206 : 35,421 = 35,421 : x
  2. Step 2: Convert to fraction form
    16,206/35,421 = 35,421/x
  3. Step 3: Cross multiply
    16,206x = 35,421 × 35,421
  4. Step 4: Simplify right side
    16,206x = 1,254,647,241
  5. Step 5: Solve for x
    x = 1,254,647,241/16,206
  6. Step 6: Final answer
    x = 77,418.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.