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Finding the Third Proportional to 986.79 and 2,131.71

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Solution

The third proportional to 986.79 and 2,131.71 is: 4,605.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.79 : 2,131.71 = 2,131.71 : x
  2. Step 2: Convert to fraction form
    986.79/2,131.71 = 2,131.71/x
  3. Step 3: Cross multiply
    986.79x = 2,131.71 × 2,131.71
  4. Step 4: Simplify right side
    986.79x = 4,544,179.03
  5. Step 5: Solve for x
    x = 4,544,179.03/986.79
  6. Step 6: Final answer
    x = 4,605.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.