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Finding the Third Proportional to 2,068.97 and 3,205.64

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Solution

The third proportional to 2,068.97 and 3,205.64 is: 4,966.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.97 : 3,205.64 = 3,205.64 : x
  2. Step 2: Convert to fraction form
    2,068.97/3,205.64 = 3,205.64/x
  3. Step 3: Cross multiply
    2,068.97x = 3,205.64 × 3,205.64
  4. Step 4: Simplify right side
    2,068.97x = 10,276,131.82
  5. Step 5: Solve for x
    x = 10,276,131.82/2,068.97
  6. Step 6: Final answer
    x = 4,966.79

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Why These Related Problems?

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