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Finding the Third Proportional to 2,296.13 and 3,650.63

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Solution

The third proportional to 2,296.13 and 3,650.63 is: 5,804.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.13 : 3,650.63 = 3,650.63 : x
  2. Step 2: Convert to fraction form
    2,296.13/3,650.63 = 3,650.63/x
  3. Step 3: Cross multiply
    2,296.13x = 3,650.63 × 3,650.63
  4. Step 4: Simplify right side
    2,296.13x = 13,327,062.89
  5. Step 5: Solve for x
    x = 13,327,062.89/2,296.13
  6. Step 6: Final answer
    x = 5,804.15

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.