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Finding the Third Proportional to 8,514.49 and 18,193.68

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Solution

The third proportional to 8,514.49 and 18,193.68 is: 38,876.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.49 : 18,193.68 = 18,193.68 : x
  2. Step 2: Convert to fraction form
    8,514.49/18,193.68 = 18,193.68/x
  3. Step 3: Cross multiply
    8,514.49x = 18,193.68 × 18,193.68
  4. Step 4: Simplify right side
    8,514.49x = 331,009,838.43
  5. Step 5: Solve for x
    x = 331,009,838.43/8,514.49
  6. Step 6: Final answer
    x = 38,876.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.