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Finding the Third Proportional to 1,723.78 and 3,527.72

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Solution

The third proportional to 1,723.78 and 3,527.72 is: 7,219.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.78 : 3,527.72 = 3,527.72 : x
  2. Step 2: Convert to fraction form
    1,723.78/3,527.72 = 3,527.72/x
  3. Step 3: Cross multiply
    1,723.78x = 3,527.72 × 3,527.72
  4. Step 4: Simplify right side
    1,723.78x = 12,444,799.58
  5. Step 5: Solve for x
    x = 12,444,799.58/1,723.78
  6. Step 6: Final answer
    x = 7,219.48

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.