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Finding the Third Proportional to 1,948.22 and 4,175.58

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Solution

The third proportional to 1,948.22 and 4,175.58 is: 8,949.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.22 : 4,175.58 = 4,175.58 : x
  2. Step 2: Convert to fraction form
    1,948.22/4,175.58 = 4,175.58/x
  3. Step 3: Cross multiply
    1,948.22x = 4,175.58 × 4,175.58
  4. Step 4: Simplify right side
    1,948.22x = 17,435,452.68
  5. Step 5: Solve for x
    x = 17,435,452.68/1,948.22
  6. Step 6: Final answer
    x = 8,949.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.