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Finding the Third Proportional to 23,070.50 and 48,874

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Solution

The third proportional to 23,070.50 and 48,874 is: 103,537.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,070.50 : 48,874 = 48,874 : x
  2. Step 2: Convert to fraction form
    23,070.50/48,874 = 48,874/x
  3. Step 3: Cross multiply
    23,070.50x = 48,874 × 48,874
  4. Step 4: Simplify right side
    23,070.50x = 2,388,667,876
  5. Step 5: Solve for x
    x = 2,388,667,876/23,070.50
  6. Step 6: Final answer
    x = 103,537.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.