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Finding the Third Proportional to 16,206 and 23,421

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Solution

The third proportional to 16,206 and 23,421 is: 33,848.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,206 : 23,421 = 23,421 : x
  2. Step 2: Convert to fraction form
    16,206/23,421 = 23,421/x
  3. Step 3: Cross multiply
    16,206x = 23,421 × 23,421
  4. Step 4: Simplify right side
    16,206x = 548,543,241
  5. Step 5: Solve for x
    x = 548,543,241/16,206
  6. Step 6: Final answer
    x = 33,848.16

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.