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Finding the Third Proportional to 6,407.44 and 13,773.38

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Solution

The third proportional to 6,407.44 and 13,773.38 is: 29,607.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.44 : 13,773.38 = 13,773.38 : x
  2. Step 2: Convert to fraction form
    6,407.44/13,773.38 = 13,773.38/x
  3. Step 3: Cross multiply
    6,407.44x = 13,773.38 × 13,773.38
  4. Step 4: Simplify right side
    6,407.44x = 189,705,858.89
  5. Step 5: Solve for x
    x = 189,705,858.89/6,407.44
  6. Step 6: Final answer
    x = 29,607.13

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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.