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Finding the Third Proportional to 1,010.75 and 2,098.75

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Solution

The third proportional to 1,010.75 and 2,098.75 is: 4,357.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.75 : 2,098.75 = 2,098.75 : x
  2. Step 2: Convert to fraction form
    1,010.75/2,098.75 = 2,098.75/x
  3. Step 3: Cross multiply
    1,010.75x = 2,098.75 × 2,098.75
  4. Step 4: Simplify right side
    1,010.75x = 4,404,751.56
  5. Step 5: Solve for x
    x = 4,404,751.56/1,010.75
  6. Step 6: Final answer
    x = 4,357.90

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.