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Finding the Third Proportional to 13,198.50 and 26,613

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Solution

The third proportional to 13,198.50 and 26,613 is: 53,661.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,198.50 : 26,613 = 26,613 : x
  2. Step 2: Convert to fraction form
    13,198.50/26,613 = 26,613/x
  3. Step 3: Cross multiply
    13,198.50x = 26,613 × 26,613
  4. Step 4: Simplify right side
    13,198.50x = 708,251,769
  5. Step 5: Solve for x
    x = 708,251,769/13,198.50
  6. Step 6: Final answer
    x = 53,661.53

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.