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Finding the Third Proportional to 17,453.29 and 24,676.37

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Solution

The third proportional to 17,453.29 and 24,676.37 is: 34,888.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,453.29 : 24,676.37 = 24,676.37 : x
  2. Step 2: Convert to fraction form
    17,453.29/24,676.37 = 24,676.37/x
  3. Step 3: Cross multiply
    17,453.29x = 24,676.37 × 24,676.37
  4. Step 4: Simplify right side
    17,453.29x = 608,923,001.18
  5. Step 5: Solve for x
    x = 608,923,001.18/17,453.29
  6. Step 6: Final answer
    x = 34,888.73

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.