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Finding the Third Proportional to 1,319 and 1,979

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Solution

The third proportional to 1,319 and 1,979 is: 2,969.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319 : 1,979 = 1,979 : x
  2. Step 2: Convert to fraction form
    1,319/1,979 = 1,979/x
  3. Step 3: Cross multiply
    1,319x = 1,979 × 1,979
  4. Step 4: Simplify right side
    1,319x = 3,916,441
  5. Step 5: Solve for x
    x = 3,916,441/1,319
  6. Step 6: Final answer
    x = 2,969.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.