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Finding the Third Proportional to 2,305 and 4,822

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Solution

The third proportional to 2,305 and 4,822 is: 10,087.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305 : 4,822 = 4,822 : x
  2. Step 2: Convert to fraction form
    2,305/4,822 = 4,822/x
  3. Step 3: Cross multiply
    2,305x = 4,822 × 4,822
  4. Step 4: Simplify right side
    2,305x = 23,251,684
  5. Step 5: Solve for x
    x = 23,251,684/2,305
  6. Step 6: Final answer
    x = 10,087.50

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.