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Finding the Third Proportional to 1,979 and 4,787

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Solution

The third proportional to 1,979 and 4,787 is: 11,579.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,979 : 4,787 = 4,787 : x
  2. Step 2: Convert to fraction form
    1,979/4,787 = 4,787/x
  3. Step 3: Cross multiply
    1,979x = 4,787 × 4,787
  4. Step 4: Simplify right side
    1,979x = 22,915,369
  5. Step 5: Solve for x
    x = 22,915,369/1,979
  6. Step 6: Final answer
    x = 11,579.27

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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.