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Finding the Third Proportional to 2,196.56 and 3,513.19

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Solution

The third proportional to 2,196.56 and 3,513.19 is: 5,619.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.56 : 3,513.19 = 3,513.19 : x
  2. Step 2: Convert to fraction form
    2,196.56/3,513.19 = 3,513.19/x
  3. Step 3: Cross multiply
    2,196.56x = 3,513.19 × 3,513.19
  4. Step 4: Simplify right side
    2,196.56x = 12,342,486.41
  5. Step 5: Solve for x
    x = 12,342,486.41/2,196.56
  6. Step 6: Final answer
    x = 5,619.00

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.