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Finding the Third Proportional to 6,680.81 and 10,384.88

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Solution

The third proportional to 6,680.81 and 10,384.88 is: 16,142.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,680.81 : 10,384.88 = 10,384.88 : x
  2. Step 2: Convert to fraction form
    6,680.81/10,384.88 = 10,384.88/x
  3. Step 3: Cross multiply
    6,680.81x = 10,384.88 × 10,384.88
  4. Step 4: Simplify right side
    6,680.81x = 107,845,628.77
  5. Step 5: Solve for x
    x = 107,845,628.77/6,680.81
  6. Step 6: Final answer
    x = 16,142.59

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.