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Finding the Third Proportional to 6,336.56 and 10,146.94

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Solution

The third proportional to 6,336.56 and 10,146.94 is: 16,248.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,336.56 : 10,146.94 = 10,146.94 : x
  2. Step 2: Convert to fraction form
    6,336.56/10,146.94 = 10,146.94/x
  3. Step 3: Cross multiply
    6,336.56x = 10,146.94 × 10,146.94
  4. Step 4: Simplify right side
    6,336.56x = 102,960,340.63
  5. Step 5: Solve for x
    x = 102,960,340.63/6,336.56
  6. Step 6: Final answer
    x = 16,248.61

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.