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Finding the Third Proportional to 1,146.66 and 1,720.83

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Solution

The third proportional to 1,146.66 and 1,720.83 is: 2,582.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.66 : 1,720.83 = 1,720.83 : x
  2. Step 2: Convert to fraction form
    1,146.66/1,720.83 = 1,720.83/x
  3. Step 3: Cross multiply
    1,146.66x = 1,720.83 × 1,720.83
  4. Step 4: Simplify right side
    1,146.66x = 2,961,249.44
  5. Step 5: Solve for x
    x = 2,961,249.44/1,146.66
  6. Step 6: Final answer
    x = 2,582.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.