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Finding the Third Proportional to 6,384.38 and 13,656.94

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Solution

The third proportional to 6,384.38 and 13,656.94 is: 29,213.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.38 : 13,656.94 = 13,656.94 : x
  2. Step 2: Convert to fraction form
    6,384.38/13,656.94 = 13,656.94/x
  3. Step 3: Cross multiply
    6,384.38x = 13,656.94 × 13,656.94
  4. Step 4: Simplify right side
    6,384.38x = 186,511,941.88
  5. Step 5: Solve for x
    x = 186,511,941.88/6,384.38
  6. Step 6: Final answer
    x = 29,213.81

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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.