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Finding the Third Proportional to 1,495.97 and 3,208.36

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Solution

The third proportional to 1,495.97 and 3,208.36 is: 6,880.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495.97 : 3,208.36 = 3,208.36 : x
  2. Step 2: Convert to fraction form
    1,495.97/3,208.36 = 3,208.36/x
  3. Step 3: Cross multiply
    1,495.97x = 3,208.36 × 3,208.36
  4. Step 4: Simplify right side
    1,495.97x = 10,293,569.88
  5. Step 5: Solve for x
    x = 10,293,569.88/1,495.97
  6. Step 6: Final answer
    x = 6,880.87

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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.