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Finding the Third Proportional to 2,660.63 and 5,684.63

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Solution

The third proportional to 2,660.63 and 5,684.63 is: 12,145.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.63 : 5,684.63 = 5,684.63 : x
  2. Step 2: Convert to fraction form
    2,660.63/5,684.63 = 5,684.63/x
  3. Step 3: Cross multiply
    2,660.63x = 5,684.63 × 5,684.63
  4. Step 4: Simplify right side
    2,660.63x = 32,314,961.39
  5. Step 5: Solve for x
    x = 32,314,961.39/2,660.63
  6. Step 6: Final answer
    x = 12,145.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.