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Finding the Third Proportional to 1,925.44 and 4,150.83

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Solution

The third proportional to 1,925.44 and 4,150.83 is: 8,948.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,925.44 : 4,150.83 = 4,150.83 : x
  2. Step 2: Convert to fraction form
    1,925.44/4,150.83 = 4,150.83/x
  3. Step 3: Cross multiply
    1,925.44x = 4,150.83 × 4,150.83
  4. Step 4: Simplify right side
    1,925.44x = 17,229,374.12
  5. Step 5: Solve for x
    x = 17,229,374.12/1,925.44
  6. Step 6: Final answer
    x = 8,948.29

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.