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Finding the Third Proportional to 1,786.85 and 2,693.46

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Solution

The third proportional to 1,786.85 and 2,693.46 is: 4,060.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.85 : 2,693.46 = 2,693.46 : x
  2. Step 2: Convert to fraction form
    1,786.85/2,693.46 = 2,693.46/x
  3. Step 3: Cross multiply
    1,786.85x = 2,693.46 × 2,693.46
  4. Step 4: Simplify right side
    1,786.85x = 7,254,731.82
  5. Step 5: Solve for x
    x = 7,254,731.82/1,786.85
  6. Step 6: Final answer
    x = 4,060.06

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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.