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Finding the Third Proportional to 1,466.44 and 2,059.17

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Solution

The third proportional to 1,466.44 and 2,059.17 is: 2,891.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.44 : 2,059.17 = 2,059.17 : x
  2. Step 2: Convert to fraction form
    1,466.44/2,059.17 = 2,059.17/x
  3. Step 3: Cross multiply
    1,466.44x = 2,059.17 × 2,059.17
  4. Step 4: Simplify right side
    1,466.44x = 4,240,188.81
  5. Step 5: Solve for x
    x = 4,240,188.81/1,466.44
  6. Step 6: Final answer
    x = 2,891.49

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.