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Finding the Third Proportional to 32,980 and 51,099

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Solution

The third proportional to 32,980 and 51,099 is: 79,172.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,980 : 51,099 = 51,099 : x
  2. Step 2: Convert to fraction form
    32,980/51,099 = 51,099/x
  3. Step 3: Cross multiply
    32,980x = 51,099 × 51,099
  4. Step 4: Simplify right side
    32,980x = 2,611,107,801
  5. Step 5: Solve for x
    x = 2,611,107,801/32,980
  6. Step 6: Final answer
    x = 79,172.46

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Why These Related Problems?

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