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Finding the Third Proportional to 1,071.56 and 1,629.94

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Solution

The third proportional to 1,071.56 and 1,629.94 is: 2,479.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.56 : 1,629.94 = 1,629.94 : x
  2. Step 2: Convert to fraction form
    1,071.56/1,629.94 = 1,629.94/x
  3. Step 3: Cross multiply
    1,071.56x = 1,629.94 × 1,629.94
  4. Step 4: Simplify right side
    1,071.56x = 2,656,696.25
  5. Step 5: Solve for x
    x = 2,656,696.25/1,071.56
  6. Step 6: Final answer
    x = 2,479.27

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.