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Finding the Third Proportional to 13,536 and 20,193.75

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Solution

The third proportional to 13,536 and 20,193.75 is: 30,126.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,536 : 20,193.75 = 20,193.75 : x
  2. Step 2: Convert to fraction form
    13,536/20,193.75 = 20,193.75/x
  3. Step 3: Cross multiply
    13,536x = 20,193.75 × 20,193.75
  4. Step 4: Simplify right side
    13,536x = 407,787,539.06
  5. Step 5: Solve for x
    x = 407,787,539.06/13,536
  6. Step 6: Final answer
    x = 30,126.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.