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Finding the Third Proportional to 12,185.75 and 25,329

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Solution

The third proportional to 12,185.75 and 25,329 is: 52,648.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,185.75 : 25,329 = 25,329 : x
  2. Step 2: Convert to fraction form
    12,185.75/25,329 = 25,329/x
  3. Step 3: Cross multiply
    12,185.75x = 25,329 × 25,329
  4. Step 4: Simplify right side
    12,185.75x = 641,558,241
  5. Step 5: Solve for x
    x = 641,558,241/12,185.75
  6. Step 6: Final answer
    x = 52,648.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.