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Finding the Third Proportional to 15,205.50 and 33,408

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Solution

The third proportional to 15,205.50 and 33,408 is: 73,400.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,205.50 : 33,408 = 33,408 : x
  2. Step 2: Convert to fraction form
    15,205.50/33,408 = 33,408/x
  3. Step 3: Cross multiply
    15,205.50x = 33,408 × 33,408
  4. Step 4: Simplify right side
    15,205.50x = 1,116,094,464
  5. Step 5: Solve for x
    x = 1,116,094,464/15,205.50
  6. Step 6: Final answer
    x = 73,400.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.