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Finding the Third Proportional to 17,604 and 26,408.25

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Solution

The third proportional to 17,604 and 26,408.25 is: 39,615.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,604 : 26,408.25 = 26,408.25 : x
  2. Step 2: Convert to fraction form
    17,604/26,408.25 = 26,408.25/x
  3. Step 3: Cross multiply
    17,604x = 26,408.25 × 26,408.25
  4. Step 4: Simplify right side
    17,604x = 697,395,668.06
  5. Step 5: Solve for x
    x = 697,395,668.06/17,604
  6. Step 6: Final answer
    x = 39,615.75

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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.