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Finding the Third Proportional to 5,995 and 12,283

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Solution

The third proportional to 5,995 and 12,283 is: 25,166.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,995 : 12,283 = 12,283 : x
  2. Step 2: Convert to fraction form
    5,995/12,283 = 12,283/x
  3. Step 3: Cross multiply
    5,995x = 12,283 × 12,283
  4. Step 4: Simplify right side
    5,995x = 150,872,089
  5. Step 5: Solve for x
    x = 150,872,089/5,995
  6. Step 6: Final answer
    x = 25,166.32

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.