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Finding the Third Proportional to 6,036.94 and 12,729.38

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Solution

The third proportional to 6,036.94 and 12,729.38 is: 26,840.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,036.94 : 12,729.38 = 12,729.38 : x
  2. Step 2: Convert to fraction form
    6,036.94/12,729.38 = 12,729.38/x
  3. Step 3: Cross multiply
    6,036.94x = 12,729.38 × 12,729.38
  4. Step 4: Simplify right side
    6,036.94x = 162,036,987.89
  5. Step 5: Solve for x
    x = 162,036,987.89/6,036.94
  6. Step 6: Final answer
    x = 26,840.93

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.