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Finding the Third Proportional to 16,725 and 36,329

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Solution

The third proportional to 16,725 and 36,329 is: 78,911.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,725 : 36,329 = 36,329 : x
  2. Step 2: Convert to fraction form
    16,725/36,329 = 36,329/x
  3. Step 3: Cross multiply
    16,725x = 36,329 × 36,329
  4. Step 4: Simplify right side
    16,725x = 1,319,796,241
  5. Step 5: Solve for x
    x = 1,319,796,241/16,725
  6. Step 6: Final answer
    x = 78,911.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.