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Finding the Third Proportional to 13,225.64 and 17,941.92

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Solution

The third proportional to 13,225.64 and 17,941.92 is: 24,340.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,225.64 : 17,941.92 = 17,941.92 : x
  2. Step 2: Convert to fraction form
    13,225.64/17,941.92 = 17,941.92/x
  3. Step 3: Cross multiply
    13,225.64x = 17,941.92 × 17,941.92
  4. Step 4: Simplify right side
    13,225.64x = 321,912,560.57
  5. Step 5: Solve for x
    x = 321,912,560.57/13,225.64
  6. Step 6: Final answer
    x = 24,340.04

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.