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Finding the Third Proportional to 1,980 and 4,782

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Solution

The third proportional to 1,980 and 4,782 is: 11,549.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980 : 4,782 = 4,782 : x
  2. Step 2: Convert to fraction form
    1,980/4,782 = 4,782/x
  3. Step 3: Cross multiply
    1,980x = 4,782 × 4,782
  4. Step 4: Simplify right side
    1,980x = 22,867,524
  5. Step 5: Solve for x
    x = 22,867,524/1,980
  6. Step 6: Final answer
    x = 11,549.25

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.