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Finding the Third Proportional to 2,196.94 and 3,502.50

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Solution

The third proportional to 2,196.94 and 3,502.50 is: 5,583.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.94 : 3,502.50 = 3,502.50 : x
  2. Step 2: Convert to fraction form
    2,196.94/3,502.50 = 3,502.50/x
  3. Step 3: Cross multiply
    2,196.94x = 3,502.50 × 3,502.50
  4. Step 4: Simplify right side
    2,196.94x = 12,267,506.25
  5. Step 5: Solve for x
    x = 12,267,506.25/2,196.94
  6. Step 6: Final answer
    x = 5,583.91

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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.