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Finding the Third Proportional to 38,853 and 59,791.50

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Solution

The third proportional to 38,853 and 59,791.50 is: 92,014.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,853 : 59,791.50 = 59,791.50 : x
  2. Step 2: Convert to fraction form
    38,853/59,791.50 = 59,791.50/x
  3. Step 3: Cross multiply
    38,853x = 59,791.50 × 59,791.50
  4. Step 4: Simplify right side
    38,853x = 3,575,023,472.25
  5. Step 5: Solve for x
    x = 3,575,023,472.25/38,853
  6. Step 6: Final answer
    x = 92,014.09

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