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Finding the Third Proportional to 33,201 and 44,532

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Solution

The third proportional to 33,201 and 44,532 is: 59,730.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,201 : 44,532 = 44,532 : x
  2. Step 2: Convert to fraction form
    33,201/44,532 = 44,532/x
  3. Step 3: Cross multiply
    33,201x = 44,532 × 44,532
  4. Step 4: Simplify right side
    33,201x = 1,983,099,024
  5. Step 5: Solve for x
    x = 1,983,099,024/33,201
  6. Step 6: Final answer
    x = 59,730.10

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.