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Finding the Third Proportional to 986.63 and 2,284.31

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Solution

The third proportional to 986.63 and 2,284.31 is: 5,288.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.63 : 2,284.31 = 2,284.31 : x
  2. Step 2: Convert to fraction form
    986.63/2,284.31 = 2,284.31/x
  3. Step 3: Cross multiply
    986.63x = 2,284.31 × 2,284.31
  4. Step 4: Simplify right side
    986.63x = 5,218,083.60
  5. Step 5: Solve for x
    x = 5,218,083.60/986.63
  6. Step 6: Final answer
    x = 5,288.82

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.