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Finding the Third Proportional to 13,733.30 and 28,195.59

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Solution

The third proportional to 13,733.30 and 28,195.59 is: 57,887.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,733.30 : 28,195.59 = 28,195.59 : x
  2. Step 2: Convert to fraction form
    13,733.30/28,195.59 = 28,195.59/x
  3. Step 3: Cross multiply
    13,733.30x = 28,195.59 × 28,195.59
  4. Step 4: Simplify right side
    13,733.30x = 794,991,506.92
  5. Step 5: Solve for x
    x = 794,991,506.92/13,733.30
  6. Step 6: Final answer
    x = 57,887.88

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.