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Finding the Third Proportional to 5,037 and 10,533

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Solution

The third proportional to 5,037 and 10,533 is: 22,025.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,037 : 10,533 = 10,533 : x
  2. Step 2: Convert to fraction form
    5,037/10,533 = 10,533/x
  3. Step 3: Cross multiply
    5,037x = 10,533 × 10,533
  4. Step 4: Simplify right side
    5,037x = 110,944,089
  5. Step 5: Solve for x
    x = 110,944,089/5,037
  6. Step 6: Final answer
    x = 22,025.83

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.