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Finding the Third Proportional to 33,630 and 53,520

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Solution

The third proportional to 33,630 and 53,520 is: 85,173.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,630 : 53,520 = 53,520 : x
  2. Step 2: Convert to fraction form
    33,630/53,520 = 53,520/x
  3. Step 3: Cross multiply
    33,630x = 53,520 × 53,520
  4. Step 4: Simplify right side
    33,630x = 2,864,390,400
  5. Step 5: Solve for x
    x = 2,864,390,400/33,630
  6. Step 6: Final answer
    x = 85,173.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.