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Finding the Third Proportional to 32,980.92 and 51,100.45

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Solution

The third proportional to 32,980.92 and 51,100.45 is: 79,174.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,980.92 : 51,100.45 = 51,100.45 : x
  2. Step 2: Convert to fraction form
    32,980.92/51,100.45 = 51,100.45/x
  3. Step 3: Cross multiply
    32,980.92x = 51,100.45 × 51,100.45
  4. Step 4: Simplify right side
    32,980.92x = 2,611,256,309.58
  5. Step 5: Solve for x
    x = 2,611,256,309.58/32,980.92
  6. Step 6: Final answer
    x = 79,174.75

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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.