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Finding the Third Proportional to 19,394 and 29,847

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Solution

The third proportional to 19,394 and 29,847 is: 45,933.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,394 : 29,847 = 29,847 : x
  2. Step 2: Convert to fraction form
    19,394/29,847 = 29,847/x
  3. Step 3: Cross multiply
    19,394x = 29,847 × 29,847
  4. Step 4: Simplify right side
    19,394x = 890,843,409
  5. Step 5: Solve for x
    x = 890,843,409/19,394
  6. Step 6: Final answer
    x = 45,933.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.