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Finding the Third Proportional to 33,051 and 49,651.50

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Solution

The third proportional to 33,051 and 49,651.50 is: 74,589.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,051 : 49,651.50 = 49,651.50 : x
  2. Step 2: Convert to fraction form
    33,051/49,651.50 = 49,651.50/x
  3. Step 3: Cross multiply
    33,051x = 49,651.50 × 49,651.50
  4. Step 4: Simplify right side
    33,051x = 2,465,271,452.25
  5. Step 5: Solve for x
    x = 2,465,271,452.25/33,051
  6. Step 6: Final answer
    x = 74,589.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.