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Finding the Third Proportional to 5,779 and 8,258

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Solution

The third proportional to 5,779 and 8,258 is: 11,800.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,779 : 8,258 = 8,258 : x
  2. Step 2: Convert to fraction form
    5,779/8,258 = 8,258/x
  3. Step 3: Cross multiply
    5,779x = 8,258 × 8,258
  4. Step 4: Simplify right side
    5,779x = 68,194,564
  5. Step 5: Solve for x
    x = 68,194,564/5,779
  6. Step 6: Final answer
    x = 11,800.41

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.