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Finding the Third Proportional to 1,466.54 and 3,146.66

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Solution

The third proportional to 1,466.54 and 3,146.66 is: 6,751.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.54 : 3,146.66 = 3,146.66 : x
  2. Step 2: Convert to fraction form
    1,466.54/3,146.66 = 3,146.66/x
  3. Step 3: Cross multiply
    1,466.54x = 3,146.66 × 3,146.66
  4. Step 4: Simplify right side
    1,466.54x = 9,901,470.14
  5. Step 5: Solve for x
    x = 9,901,470.14/1,466.54
  6. Step 6: Final answer
    x = 6,751.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.