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Finding the Third Proportional to 1,768.88 and 2,675.63

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Solution

The third proportional to 1,768.88 and 2,675.63 is: 4,047.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.88 : 2,675.63 = 2,675.63 : x
  2. Step 2: Convert to fraction form
    1,768.88/2,675.63 = 2,675.63/x
  3. Step 3: Cross multiply
    1,768.88x = 2,675.63 × 2,675.63
  4. Step 4: Simplify right side
    1,768.88x = 7,158,969.14
  5. Step 5: Solve for x
    x = 7,158,969.14/1,768.88
  6. Step 6: Final answer
    x = 4,047.19

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.