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Finding the Third Proportional to 5,858 and 8,253

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Solution

The third proportional to 5,858 and 8,253 is: 11,627.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,858 : 8,253 = 8,253 : x
  2. Step 2: Convert to fraction form
    5,858/8,253 = 8,253/x
  3. Step 3: Cross multiply
    5,858x = 8,253 × 8,253
  4. Step 4: Simplify right side
    5,858x = 68,112,009
  5. Step 5: Solve for x
    x = 68,112,009/5,858
  6. Step 6: Final answer
    x = 11,627.18

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.