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Finding the Third Proportional to 983.25 and 2,076.75

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Solution

The third proportional to 983.25 and 2,076.75 is: 4,386.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.25 : 2,076.75 = 2,076.75 : x
  2. Step 2: Convert to fraction form
    983.25/2,076.75 = 2,076.75/x
  3. Step 3: Cross multiply
    983.25x = 2,076.75 × 2,076.75
  4. Step 4: Simplify right side
    983.25x = 4,312,890.56
  5. Step 5: Solve for x
    x = 4,312,890.56/983.25
  6. Step 6: Final answer
    x = 4,386.36

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.