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Finding the Third Proportional to 1,651.64 and 3,610.83

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Solution

The third proportional to 1,651.64 and 3,610.83 is: 7,894.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.64 : 3,610.83 = 3,610.83 : x
  2. Step 2: Convert to fraction form
    1,651.64/3,610.83 = 3,610.83/x
  3. Step 3: Cross multiply
    1,651.64x = 3,610.83 × 3,610.83
  4. Step 4: Simplify right side
    1,651.64x = 13,038,079.75
  5. Step 5: Solve for x
    x = 13,038,079.75/1,651.64
  6. Step 6: Final answer
    x = 7,894.02

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.