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Finding the Third Proportional to 19,444 and 29,166

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Solution

The third proportional to 19,444 and 29,166 is: 43,749

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,444 : 29,166 = 29,166 : x
  2. Step 2: Convert to fraction form
    19,444/29,166 = 29,166/x
  3. Step 3: Cross multiply
    19,444x = 29,166 × 29,166
  4. Step 4: Simplify right side
    19,444x = 850,655,556
  5. Step 5: Solve for x
    x = 850,655,556/19,444
  6. Step 6: Final answer
    x = 43,749

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.