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Finding the Third Proportional to 17,788 and 26,729.25

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Solution

The third proportional to 17,788 and 26,729.25 is: 40,164.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,788 : 26,729.25 = 26,729.25 : x
  2. Step 2: Convert to fraction form
    17,788/26,729.25 = 26,729.25/x
  3. Step 3: Cross multiply
    17,788x = 26,729.25 × 26,729.25
  4. Step 4: Simplify right side
    17,788x = 714,452,805.56
  5. Step 5: Solve for x
    x = 714,452,805.56/17,788
  6. Step 6: Final answer
    x = 40,164.88

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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.