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Finding the Third Proportional to 32,567 and 48,881

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Solution

The third proportional to 32,567 and 48,881 is: 73,367.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,567 : 48,881 = 48,881 : x
  2. Step 2: Convert to fraction form
    32,567/48,881 = 48,881/x
  3. Step 3: Cross multiply
    32,567x = 48,881 × 48,881
  4. Step 4: Simplify right side
    32,567x = 2,389,352,161
  5. Step 5: Solve for x
    x = 2,389,352,161/32,567
  6. Step 6: Final answer
    x = 73,367.28

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