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Finding the Third Proportional to 2,306 and 4,285

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Solution

The third proportional to 2,306 and 4,285 is: 7,962.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306 : 4,285 = 4,285 : x
  2. Step 2: Convert to fraction form
    2,306/4,285 = 4,285/x
  3. Step 3: Cross multiply
    2,306x = 4,285 × 4,285
  4. Step 4: Simplify right side
    2,306x = 18,361,225
  5. Step 5: Solve for x
    x = 18,361,225/2,306
  6. Step 6: Final answer
    x = 7,962.37

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.