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Finding the Third Proportional to 5,780 and 13,922

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Solution

The third proportional to 5,780 and 13,922 is: 33,533.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780 : 13,922 = 13,922 : x
  2. Step 2: Convert to fraction form
    5,780/13,922 = 13,922/x
  3. Step 3: Cross multiply
    5,780x = 13,922 × 13,922
  4. Step 4: Simplify right side
    5,780x = 193,822,084
  5. Step 5: Solve for x
    x = 193,822,084/5,780
  6. Step 6: Final answer
    x = 33,533.23

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.