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Finding the Third Proportional to 2,270 and 5,285

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Solution

The third proportional to 2,270 and 5,285 is: 12,304.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270 : 5,285 = 5,285 : x
  2. Step 2: Convert to fraction form
    2,270/5,285 = 5,285/x
  3. Step 3: Cross multiply
    2,270x = 5,285 × 5,285
  4. Step 4: Simplify right side
    2,270x = 27,931,225
  5. Step 5: Solve for x
    x = 27,931,225/2,270
  6. Step 6: Final answer
    x = 12,304.50

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.