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Finding the Third Proportional to 19,267 and 40,046

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Solution

The third proportional to 19,267 and 40,046 is: 83,234.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,267 : 40,046 = 40,046 : x
  2. Step 2: Convert to fraction form
    19,267/40,046 = 40,046/x
  3. Step 3: Cross multiply
    19,267x = 40,046 × 40,046
  4. Step 4: Simplify right side
    19,267x = 1,603,682,116
  5. Step 5: Solve for x
    x = 1,603,682,116/19,267
  6. Step 6: Final answer
    x = 83,234.66

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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.