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Finding the Third Proportional to 2,306 and 3,805

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Solution

The third proportional to 2,306 and 3,805 is: 6,278.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306 : 3,805 = 3,805 : x
  2. Step 2: Convert to fraction form
    2,306/3,805 = 3,805/x
  3. Step 3: Cross multiply
    2,306x = 3,805 × 3,805
  4. Step 4: Simplify right side
    2,306x = 14,478,025
  5. Step 5: Solve for x
    x = 14,478,025/2,306
  6. Step 6: Final answer
    x = 6,278.42

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.