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Finding the Third Proportional to 5,703.19 and 11,679.75

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Solution

The third proportional to 5,703.19 and 11,679.75 is: 23,919.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.19 : 11,679.75 = 11,679.75 : x
  2. Step 2: Convert to fraction form
    5,703.19/11,679.75 = 11,679.75/x
  3. Step 3: Cross multiply
    5,703.19x = 11,679.75 × 11,679.75
  4. Step 4: Simplify right side
    5,703.19x = 136,416,560.06
  5. Step 5: Solve for x
    x = 136,416,560.06/5,703.19
  6. Step 6: Final answer
    x = 23,919.35

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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.