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Finding the Third Proportional to 1,948.22 and 3,043.41

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Solution

The third proportional to 1,948.22 and 3,043.41 is: 4,754.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.22 : 3,043.41 = 3,043.41 : x
  2. Step 2: Convert to fraction form
    1,948.22/3,043.41 = 3,043.41/x
  3. Step 3: Cross multiply
    1,948.22x = 3,043.41 × 3,043.41
  4. Step 4: Simplify right side
    1,948.22x = 9,262,321.60
  5. Step 5: Solve for x
    x = 9,262,321.60/1,948.22
  6. Step 6: Final answer
    x = 4,754.25

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.