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Finding the Third Proportional to 16,999.75 and 25,514.25

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Solution

The third proportional to 16,999.75 and 25,514.25 is: 38,293.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,999.75 : 25,514.25 = 25,514.25 : x
  2. Step 2: Convert to fraction form
    16,999.75/25,514.25 = 25,514.25/x
  3. Step 3: Cross multiply
    16,999.75x = 25,514.25 × 25,514.25
  4. Step 4: Simplify right side
    16,999.75x = 650,976,953.06
  5. Step 5: Solve for x
    x = 650,976,953.06/16,999.75
  6. Step 6: Final answer
    x = 38,293.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.