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Finding the Third Proportional to 2,633.63 and 6,096.94

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Solution

The third proportional to 2,633.63 and 6,096.94 is: 14,114.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,633.63 : 6,096.94 = 6,096.94 : x
  2. Step 2: Convert to fraction form
    2,633.63/6,096.94 = 6,096.94/x
  3. Step 3: Cross multiply
    2,633.63x = 6,096.94 × 6,096.94
  4. Step 4: Simplify right side
    2,633.63x = 37,172,646.88
  5. Step 5: Solve for x
    x = 37,172,646.88/2,633.63
  6. Step 6: Final answer
    x = 14,114.63

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.