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Finding the Third Proportional to 38,811 and 58,520

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Solution

The third proportional to 38,811 and 58,520 is: 88,237.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,811 : 58,520 = 58,520 : x
  2. Step 2: Convert to fraction form
    38,811/58,520 = 58,520/x
  3. Step 3: Cross multiply
    38,811x = 58,520 × 58,520
  4. Step 4: Simplify right side
    38,811x = 3,424,590,400
  5. Step 5: Solve for x
    x = 3,424,590,400/38,811
  6. Step 6: Final answer
    x = 88,237.62

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.