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Finding the Third Proportional to 979.88 and 2,039.63

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Solution

The third proportional to 979.88 and 2,039.63 is: 4,245.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.88 : 2,039.63 = 2,039.63 : x
  2. Step 2: Convert to fraction form
    979.88/2,039.63 = 2,039.63/x
  3. Step 3: Cross multiply
    979.88x = 2,039.63 × 2,039.63
  4. Step 4: Simplify right side
    979.88x = 4,160,070.14
  5. Step 5: Solve for x
    x = 4,160,070.14/979.88
  6. Step 6: Final answer
    x = 4,245.51

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.