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Finding the Third Proportional to 32,840 and 50,798

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Solution

The third proportional to 32,840 and 50,798 is: 78,576.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,840 : 50,798 = 50,798 : x
  2. Step 2: Convert to fraction form
    32,840/50,798 = 50,798/x
  3. Step 3: Cross multiply
    32,840x = 50,798 × 50,798
  4. Step 4: Simplify right side
    32,840x = 2,580,436,804
  5. Step 5: Solve for x
    x = 2,580,436,804/32,840
  6. Step 6: Final answer
    x = 78,576.03

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.