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Finding the Third Proportional to 6,019.95 and 12,956.84

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Solution

The third proportional to 6,019.95 and 12,956.84 is: 27,887.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,019.95 : 12,956.84 = 12,956.84 : x
  2. Step 2: Convert to fraction form
    6,019.95/12,956.84 = 12,956.84/x
  3. Step 3: Cross multiply
    6,019.95x = 12,956.84 × 12,956.84
  4. Step 4: Simplify right side
    6,019.95x = 167,879,597.51
  5. Step 5: Solve for x
    x = 167,879,597.51/6,019.95
  6. Step 6: Final answer
    x = 27,887.23

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.