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Finding the Third Proportional to 1,041.89 and 1,612.83

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Solution

The third proportional to 1,041.89 and 1,612.83 is: 2,496.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.89 : 1,612.83 = 1,612.83 : x
  2. Step 2: Convert to fraction form
    1,041.89/1,612.83 = 1,612.83/x
  3. Step 3: Cross multiply
    1,041.89x = 1,612.83 × 1,612.83
  4. Step 4: Simplify right side
    1,041.89x = 2,601,214.56
  5. Step 5: Solve for x
    x = 2,601,214.56/1,041.89
  6. Step 6: Final answer
    x = 2,496.63

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.