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Finding the Third Proportional to 1,836.56 and 3,956.06

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Solution

The third proportional to 1,836.56 and 3,956.06 is: 8,521.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836.56 : 3,956.06 = 3,956.06 : x
  2. Step 2: Convert to fraction form
    1,836.56/3,956.06 = 3,956.06/x
  3. Step 3: Cross multiply
    1,836.56x = 3,956.06 × 3,956.06
  4. Step 4: Simplify right side
    1,836.56x = 15,650,430.50
  5. Step 5: Solve for x
    x = 15,650,430.50/1,836.56
  6. Step 6: Final answer
    x = 8,521.59

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.