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Finding the Third Proportional to 16,163 and 33,709

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Solution

The third proportional to 16,163 and 33,709 is: 70,302.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,163 : 33,709 = 33,709 : x
  2. Step 2: Convert to fraction form
    16,163/33,709 = 33,709/x
  3. Step 3: Cross multiply
    16,163x = 33,709 × 33,709
  4. Step 4: Simplify right side
    16,163x = 1,136,296,681
  5. Step 5: Solve for x
    x = 1,136,296,681/16,163
  6. Step 6: Final answer
    x = 70,302.34

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.