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Finding the Third Proportional to 13,434 and 20,495

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Solution

The third proportional to 13,434 and 20,495 is: 31,267.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,434 : 20,495 = 20,495 : x
  2. Step 2: Convert to fraction form
    13,434/20,495 = 20,495/x
  3. Step 3: Cross multiply
    13,434x = 20,495 × 20,495
  4. Step 4: Simplify right side
    13,434x = 420,045,025
  5. Step 5: Solve for x
    x = 420,045,025/13,434
  6. Step 6: Final answer
    x = 31,267.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.