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Finding the Third Proportional to 10,247 and 22,015

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Solution

The third proportional to 10,247 and 22,015 is: 47,297.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,247 : 22,015 = 22,015 : x
  2. Step 2: Convert to fraction form
    10,247/22,015 = 22,015/x
  3. Step 3: Cross multiply
    10,247x = 22,015 × 22,015
  4. Step 4: Simplify right side
    10,247x = 484,660,225
  5. Step 5: Solve for x
    x = 484,660,225/10,247
  6. Step 6: Final answer
    x = 47,297.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.