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Finding the Third Proportional to 4,072 and 5,780

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Solution

The third proportional to 4,072 and 5,780 is: 8,204.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,072 : 5,780 = 5,780 : x
  2. Step 2: Convert to fraction form
    4,072/5,780 = 5,780/x
  3. Step 3: Cross multiply
    4,072x = 5,780 × 5,780
  4. Step 4: Simplify right side
    4,072x = 33,408,400
  5. Step 5: Solve for x
    x = 33,408,400/4,072
  6. Step 6: Final answer
    x = 8,204.42

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.