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Finding the Third Proportional to 32,210 and 50,094

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Solution

The third proportional to 32,210 and 50,094 is: 77,907.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,210 : 50,094 = 50,094 : x
  2. Step 2: Convert to fraction form
    32,210/50,094 = 50,094/x
  3. Step 3: Cross multiply
    32,210x = 50,094 × 50,094
  4. Step 4: Simplify right side
    32,210x = 2,509,408,836
  5. Step 5: Solve for x
    x = 2,509,408,836/32,210
  6. Step 6: Final answer
    x = 77,907.76

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.