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Finding the Third Proportional to 1,873.58 and 4,035.48

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Solution

The third proportional to 1,873.58 and 4,035.48 is: 8,691.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873.58 : 4,035.48 = 4,035.48 : x
  2. Step 2: Convert to fraction form
    1,873.58/4,035.48 = 4,035.48/x
  3. Step 3: Cross multiply
    1,873.58x = 4,035.48 × 4,035.48
  4. Step 4: Simplify right side
    1,873.58x = 16,285,138.08
  5. Step 5: Solve for x
    x = 16,285,138.08/1,873.58
  6. Step 6: Final answer
    x = 8,691.99

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.