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Finding the Third Proportional to 13,749.75 and 20,300.63

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Solution

The third proportional to 13,749.75 and 20,300.63 is: 29,972.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,749.75 : 20,300.63 = 20,300.63 : x
  2. Step 2: Convert to fraction form
    13,749.75/20,300.63 = 20,300.63/x
  3. Step 3: Cross multiply
    13,749.75x = 20,300.63 × 20,300.63
  4. Step 4: Simplify right side
    13,749.75x = 412,115,375.39
  5. Step 5: Solve for x
    x = 412,115,375.39/13,749.75
  6. Step 6: Final answer
    x = 29,972.57

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.