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Finding the Third Proportional to 33,582 and 70,611

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Solution

The third proportional to 33,582 and 70,611 is: 148,469.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,582 : 70,611 = 70,611 : x
  2. Step 2: Convert to fraction form
    33,582/70,611 = 70,611/x
  3. Step 3: Cross multiply
    33,582x = 70,611 × 70,611
  4. Step 4: Simplify right side
    33,582x = 4,985,913,321
  5. Step 5: Solve for x
    x = 4,985,913,321/33,582
  6. Step 6: Final answer
    x = 148,469.81

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.