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Finding the Third Proportional to 4,780 and 6,983

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Solution

The third proportional to 4,780 and 6,983 is: 10,201.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,780 : 6,983 = 6,983 : x
  2. Step 2: Convert to fraction form
    4,780/6,983 = 6,983/x
  3. Step 3: Cross multiply
    4,780x = 6,983 × 6,983
  4. Step 4: Simplify right side
    4,780x = 48,762,289
  5. Step 5: Solve for x
    x = 48,762,289/4,780
  6. Step 6: Final answer
    x = 10,201.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.