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Finding the Third Proportional to 16,207 and 33,539

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Solution

The third proportional to 16,207 and 33,539 is: 69,406.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,207 : 33,539 = 33,539 : x
  2. Step 2: Convert to fraction form
    16,207/33,539 = 33,539/x
  3. Step 3: Cross multiply
    16,207x = 33,539 × 33,539
  4. Step 4: Simplify right side
    16,207x = 1,124,864,521
  5. Step 5: Solve for x
    x = 1,124,864,521/16,207
  6. Step 6: Final answer
    x = 69,406.09

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.