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Finding the Third Proportional to 5,074.50 and 10,293

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Solution

The third proportional to 5,074.50 and 10,293 is: 20,878.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,074.50 : 10,293 = 10,293 : x
  2. Step 2: Convert to fraction form
    5,074.50/10,293 = 10,293/x
  3. Step 3: Cross multiply
    5,074.50x = 10,293 × 10,293
  4. Step 4: Simplify right side
    5,074.50x = 105,945,849
  5. Step 5: Solve for x
    x = 105,945,849/5,074.50
  6. Step 6: Final answer
    x = 20,878.09

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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.