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Finding the Third Proportional to 6,727.88 and 14,733.38

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Solution

The third proportional to 6,727.88 and 14,733.38 is: 32,264.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,727.88 : 14,733.38 = 14,733.38 : x
  2. Step 2: Convert to fraction form
    6,727.88/14,733.38 = 14,733.38/x
  3. Step 3: Cross multiply
    6,727.88x = 14,733.38 × 14,733.38
  4. Step 4: Simplify right side
    6,727.88x = 217,072,338.89
  5. Step 5: Solve for x
    x = 217,072,338.89/6,727.88
  6. Step 6: Final answer
    x = 32,264.62

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.