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Finding the Third Proportional to 7,682.06 and 16,754.63

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Solution

The third proportional to 7,682.06 and 16,754.63 is: 36,541.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.06 : 16,754.63 = 16,754.63 : x
  2. Step 2: Convert to fraction form
    7,682.06/16,754.63 = 16,754.63/x
  3. Step 3: Cross multiply
    7,682.06x = 16,754.63 × 16,754.63
  4. Step 4: Simplify right side
    7,682.06x = 280,717,458.89
  5. Step 5: Solve for x
    x = 280,717,458.89/7,682.06
  6. Step 6: Final answer
    x = 36,541.94

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.