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Finding the Third Proportional to 33,025.13 and 51,157.88

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Solution

The third proportional to 33,025.13 and 51,157.88 is: 79,246.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,025.13 : 51,157.88 = 51,157.88 : x
  2. Step 2: Convert to fraction form
    33,025.13/51,157.88 = 51,157.88/x
  3. Step 3: Cross multiply
    33,025.13x = 51,157.88 × 51,157.88
  4. Step 4: Simplify right side
    33,025.13x = 2,617,128,174.52
  5. Step 5: Solve for x
    x = 2,617,128,174.52/33,025.13
  6. Step 6: Final answer
    x = 79,246.58

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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.