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Finding the Third Proportional to 2,306 and 3,621

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Solution

The third proportional to 2,306 and 3,621 is: 5,685.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306 : 3,621 = 3,621 : x
  2. Step 2: Convert to fraction form
    2,306/3,621 = 3,621/x
  3. Step 3: Cross multiply
    2,306x = 3,621 × 3,621
  4. Step 4: Simplify right side
    2,306x = 13,111,641
  5. Step 5: Solve for x
    x = 13,111,641/2,306
  6. Step 6: Final answer
    x = 5,685.88

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.