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Finding the Third Proportional to 13,408.03 and 24,841.69

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Solution

The third proportional to 13,408.03 and 24,841.69 is: 46,025.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,408.03 : 24,841.69 = 24,841.69 : x
  2. Step 2: Convert to fraction form
    13,408.03/24,841.69 = 24,841.69/x
  3. Step 3: Cross multiply
    13,408.03x = 24,841.69 × 24,841.69
  4. Step 4: Simplify right side
    13,408.03x = 617,109,437.85
  5. Step 5: Solve for x
    x = 617,109,437.85/13,408.03
  6. Step 6: Final answer
    x = 46,025.36

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.