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Finding the Third Proportional to 12,284 and 17,958

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Solution

The third proportional to 12,284 and 17,958 is: 26,252.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,284 : 17,958 = 17,958 : x
  2. Step 2: Convert to fraction form
    12,284/17,958 = 17,958/x
  3. Step 3: Cross multiply
    12,284x = 17,958 × 17,958
  4. Step 4: Simplify right side
    12,284x = 322,489,764
  5. Step 5: Solve for x
    x = 322,489,764/12,284
  6. Step 6: Final answer
    x = 26,252.83

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.