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Finding the Third Proportional to 7,022 and 16,215

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Solution

The third proportional to 7,022 and 16,215 is: 37,443.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,022 : 16,215 = 16,215 : x
  2. Step 2: Convert to fraction form
    7,022/16,215 = 16,215/x
  3. Step 3: Cross multiply
    7,022x = 16,215 × 16,215
  4. Step 4: Simplify right side
    7,022x = 262,926,225
  5. Step 5: Solve for x
    x = 262,926,225/7,022
  6. Step 6: Final answer
    x = 37,443.21

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.