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Finding the Third Proportional to 1,106.75 and 2,675.75

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Solution

The third proportional to 1,106.75 and 2,675.75 is: 6,469.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.75 : 2,675.75 = 2,675.75 : x
  2. Step 2: Convert to fraction form
    1,106.75/2,675.75 = 2,675.75/x
  3. Step 3: Cross multiply
    1,106.75x = 2,675.75 × 2,675.75
  4. Step 4: Simplify right side
    1,106.75x = 7,159,638.06
  5. Step 5: Solve for x
    x = 7,159,638.06/1,106.75
  6. Step 6: Final answer
    x = 6,469.07

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.