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Finding the Third Proportional to 11,514.50 and 18,310.43

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Solution

The third proportional to 11,514.50 and 18,310.43 is: 29,117.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,514.50 : 18,310.43 = 18,310.43 : x
  2. Step 2: Convert to fraction form
    11,514.50/18,310.43 = 18,310.43/x
  3. Step 3: Cross multiply
    11,514.50x = 18,310.43 × 18,310.43
  4. Step 4: Simplify right side
    11,514.50x = 335,271,835.34
  5. Step 5: Solve for x
    x = 335,271,835.34/11,514.50
  6. Step 6: Final answer
    x = 29,117.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.