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Finding the Third Proportional to 5,043 and 10,219.50

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Solution

The third proportional to 5,043 and 10,219.50 is: 20,709.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,043 : 10,219.50 = 10,219.50 : x
  2. Step 2: Convert to fraction form
    5,043/10,219.50 = 10,219.50/x
  3. Step 3: Cross multiply
    5,043x = 10,219.50 × 10,219.50
  4. Step 4: Simplify right side
    5,043x = 104,438,180.25
  5. Step 5: Solve for x
    x = 104,438,180.25/5,043
  6. Step 6: Final answer
    x = 20,709.53

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.