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Finding the Third Proportional to 13,027.13 and 26,514.75

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Solution

The third proportional to 13,027.13 and 26,514.75 is: 53,966.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,027.13 : 26,514.75 = 26,514.75 : x
  2. Step 2: Convert to fraction form
    13,027.13/26,514.75 = 26,514.75/x
  3. Step 3: Cross multiply
    13,027.13x = 26,514.75 × 26,514.75
  4. Step 4: Simplify right side
    13,027.13x = 703,031,967.56
  5. Step 5: Solve for x
    x = 703,031,967.56/13,027.13
  6. Step 6: Final answer
    x = 53,966.78

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.