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Finding the Third Proportional to 1,679.91 and 2,609.72

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Solution

The third proportional to 1,679.91 and 2,609.72 is: 4,054.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.91 : 2,609.72 = 2,609.72 : x
  2. Step 2: Convert to fraction form
    1,679.91/2,609.72 = 2,609.72/x
  3. Step 3: Cross multiply
    1,679.91x = 2,609.72 × 2,609.72
  4. Step 4: Simplify right side
    1,679.91x = 6,810,631.95
  5. Step 5: Solve for x
    x = 6,810,631.95/1,679.91
  6. Step 6: Final answer
    x = 4,054.17

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.