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Finding the Third Proportional to 979.65 and 2,137.80

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Solution

The third proportional to 979.65 and 2,137.80 is: 4,665.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.65 : 2,137.80 = 2,137.80 : x
  2. Step 2: Convert to fraction form
    979.65/2,137.80 = 2,137.80/x
  3. Step 3: Cross multiply
    979.65x = 2,137.80 × 2,137.80
  4. Step 4: Simplify right side
    979.65x = 4,570,183.83
  5. Step 5: Solve for x
    x = 4,570,183.83/979.65
  6. Step 6: Final answer
    x = 4,665.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.