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Finding the Third Proportional to 1,506.94 and 3,208.78

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Solution

The third proportional to 1,506.94 and 3,208.78 is: 6,832.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.94 : 3,208.78 = 3,208.78 : x
  2. Step 2: Convert to fraction form
    1,506.94/3,208.78 = 3,208.78/x
  3. Step 3: Cross multiply
    1,506.94x = 3,208.78 × 3,208.78
  4. Step 4: Simplify right side
    1,506.94x = 10,296,277.11
  5. Step 5: Solve for x
    x = 10,296,277.11/1,506.94
  6. Step 6: Final answer
    x = 6,832.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.