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Finding the Third Proportional to 5,828 and 11,386

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Solution

The third proportional to 5,828 and 11,386 is: 22,244.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828 : 11,386 = 11,386 : x
  2. Step 2: Convert to fraction form
    5,828/11,386 = 11,386/x
  3. Step 3: Cross multiply
    5,828x = 11,386 × 11,386
  4. Step 4: Simplify right side
    5,828x = 129,640,996
  5. Step 5: Solve for x
    x = 129,640,996/5,828
  6. Step 6: Final answer
    x = 22,244.51

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.