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Finding the Third Proportional to 3,595.88 and 4,826.75

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Solution

The third proportional to 3,595.88 and 4,826.75 is: 6,478.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,595.88 : 4,826.75 = 4,826.75 : x
  2. Step 2: Convert to fraction form
    3,595.88/4,826.75 = 4,826.75/x
  3. Step 3: Cross multiply
    3,595.88x = 4,826.75 × 4,826.75
  4. Step 4: Simplify right side
    3,595.88x = 23,297,515.56
  5. Step 5: Solve for x
    x = 23,297,515.56/3,595.88
  6. Step 6: Final answer
    x = 6,478.96

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.