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Finding the Third Proportional to 1,486.69 and 3,203.81

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Solution

The third proportional to 1,486.69 and 3,203.81 is: 6,904.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.69 : 3,203.81 = 3,203.81 : x
  2. Step 2: Convert to fraction form
    1,486.69/3,203.81 = 3,203.81/x
  3. Step 3: Cross multiply
    1,486.69x = 3,203.81 × 3,203.81
  4. Step 4: Simplify right side
    1,486.69x = 10,264,414.54
  5. Step 5: Solve for x
    x = 10,264,414.54/1,486.69
  6. Step 6: Final answer
    x = 6,904.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.