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Finding the Third Proportional to 11,827 and 25,958

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Solution

The third proportional to 11,827 and 25,958 is: 56,972.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,827 : 25,958 = 25,958 : x
  2. Step 2: Convert to fraction form
    11,827/25,958 = 25,958/x
  3. Step 3: Cross multiply
    11,827x = 25,958 × 25,958
  4. Step 4: Simplify right side
    11,827x = 673,817,764
  5. Step 5: Solve for x
    x = 673,817,764/11,827
  6. Step 6: Final answer
    x = 56,972.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.