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Finding the Third Proportional to 15,778.50 and 33,504

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Solution

The third proportional to 15,778.50 and 33,504 is: 71,142.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,778.50 : 33,504 = 33,504 : x
  2. Step 2: Convert to fraction form
    15,778.50/33,504 = 33,504/x
  3. Step 3: Cross multiply
    15,778.50x = 33,504 × 33,504
  4. Step 4: Simplify right side
    15,778.50x = 1,122,518,016
  5. Step 5: Solve for x
    x = 1,122,518,016/15,778.50
  6. Step 6: Final answer
    x = 71,142.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.