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Finding the Third Proportional to 7,979 and 12,319

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Solution

The third proportional to 7,979 and 12,319 is: 19,019.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,979 : 12,319 = 12,319 : x
  2. Step 2: Convert to fraction form
    7,979/12,319 = 12,319/x
  3. Step 3: Cross multiply
    7,979x = 12,319 × 12,319
  4. Step 4: Simplify right side
    7,979x = 151,757,761
  5. Step 5: Solve for x
    x = 151,757,761/7,979
  6. Step 6: Final answer
    x = 19,019.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.