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Finding the Third Proportional to 16,511 and 36,031

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Solution

The third proportional to 16,511 and 36,031 is: 78,628.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,511 : 36,031 = 36,031 : x
  2. Step 2: Convert to fraction form
    16,511/36,031 = 36,031/x
  3. Step 3: Cross multiply
    16,511x = 36,031 × 36,031
  4. Step 4: Simplify right side
    16,511x = 1,298,232,961
  5. Step 5: Solve for x
    x = 1,298,232,961/16,511
  6. Step 6: Final answer
    x = 78,628.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.