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Finding the Third Proportional to 5,879.46 and 12,577.15

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Solution

The third proportional to 5,879.46 and 12,577.15 is: 26,904.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,879.46 : 12,577.15 = 12,577.15 : x
  2. Step 2: Convert to fraction form
    5,879.46/12,577.15 = 12,577.15/x
  3. Step 3: Cross multiply
    5,879.46x = 12,577.15 × 12,577.15
  4. Step 4: Simplify right side
    5,879.46x = 158,184,662.82
  5. Step 5: Solve for x
    x = 158,184,662.82/5,879.46
  6. Step 6: Final answer
    x = 26,904.62

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.