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Finding the Third Proportional to 13,811 and 32,931

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Solution

The third proportional to 13,811 and 32,931 is: 78,520.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,811 : 32,931 = 32,931 : x
  2. Step 2: Convert to fraction form
    13,811/32,931 = 32,931/x
  3. Step 3: Cross multiply
    13,811x = 32,931 × 32,931
  4. Step 4: Simplify right side
    13,811x = 1,084,450,761
  5. Step 5: Solve for x
    x = 1,084,450,761/13,811
  6. Step 6: Final answer
    x = 78,520.80

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These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.