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Finding the Third Proportional to 976.75 and 2,107.75

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Solution

The third proportional to 976.75 and 2,107.75 is: 4,548.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.75 : 2,107.75 = 2,107.75 : x
  2. Step 2: Convert to fraction form
    976.75/2,107.75 = 2,107.75/x
  3. Step 3: Cross multiply
    976.75x = 2,107.75 × 2,107.75
  4. Step 4: Simplify right side
    976.75x = 4,442,610.06
  5. Step 5: Solve for x
    x = 4,442,610.06/976.75
  6. Step 6: Final answer
    x = 4,548.36

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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.