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Finding the Third Proportional to 1,368.77 and 3,205.51

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Solution

The third proportional to 1,368.77 and 3,205.51 is: 7,506.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.77 : 3,205.51 = 3,205.51 : x
  2. Step 2: Convert to fraction form
    1,368.77/3,205.51 = 3,205.51/x
  3. Step 3: Cross multiply
    1,368.77x = 3,205.51 × 3,205.51
  4. Step 4: Simplify right side
    1,368.77x = 10,275,305.38
  5. Step 5: Solve for x
    x = 10,275,305.38/1,368.77
  6. Step 6: Final answer
    x = 7,506.94

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.