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Finding the Third Proportional to 48,051 and 71,682.75

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Solution

The third proportional to 48,051 and 71,682.75 is: 106,936.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,051 : 71,682.75 = 71,682.75 : x
  2. Step 2: Convert to fraction form
    48,051/71,682.75 = 71,682.75/x
  3. Step 3: Cross multiply
    48,051x = 71,682.75 × 71,682.75
  4. Step 4: Simplify right side
    48,051x = 5,138,416,647.56
  5. Step 5: Solve for x
    x = 5,138,416,647.56/48,051
  6. Step 6: Final answer
    x = 106,936.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.