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Finding the Third Proportional to 2,684.63 and 5,444.63

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Solution

The third proportional to 2,684.63 and 5,444.63 is: 11,042.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.63 : 5,444.63 = 5,444.63 : x
  2. Step 2: Convert to fraction form
    2,684.63/5,444.63 = 5,444.63/x
  3. Step 3: Cross multiply
    2,684.63x = 5,444.63 × 5,444.63
  4. Step 4: Simplify right side
    2,684.63x = 29,643,941.39
  5. Step 5: Solve for x
    x = 29,643,941.39/2,684.63
  6. Step 6: Final answer
    x = 11,042.12

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.