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Finding the Third Proportional to 23,763 and 50,428.50

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Solution

The third proportional to 23,763 and 50,428.50 is: 107,016.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,763 : 50,428.50 = 50,428.50 : x
  2. Step 2: Convert to fraction form
    23,763/50,428.50 = 50,428.50/x
  3. Step 3: Cross multiply
    23,763x = 50,428.50 × 50,428.50
  4. Step 4: Simplify right side
    23,763x = 2,543,033,612.25
  5. Step 5: Solve for x
    x = 2,543,033,612.25/23,763
  6. Step 6: Final answer
    x = 107,016.52

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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.