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Finding the Third Proportional to 1,976.91 and 3,162.80

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Solution

The third proportional to 1,976.91 and 3,162.80 is: 5,060.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.91 : 3,162.80 = 3,162.80 : x
  2. Step 2: Convert to fraction form
    1,976.91/3,162.80 = 3,162.80/x
  3. Step 3: Cross multiply
    1,976.91x = 3,162.80 × 3,162.80
  4. Step 4: Simplify right side
    1,976.91x = 10,003,284.07
  5. Step 5: Solve for x
    x = 10,003,284.07/1,976.91
  6. Step 6: Final answer
    x = 5,060.07

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.