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Finding the Third Proportional to 5,050 and 10,028

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Solution

The third proportional to 5,050 and 10,028 is: 19,913.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,050 : 10,028 = 10,028 : x
  2. Step 2: Convert to fraction form
    5,050/10,028 = 10,028/x
  3. Step 3: Cross multiply
    5,050x = 10,028 × 10,028
  4. Step 4: Simplify right side
    5,050x = 100,560,784
  5. Step 5: Solve for x
    x = 100,560,784/5,050
  6. Step 6: Final answer
    x = 19,913.03

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Why These Related Problems?

These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.