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Finding the Third Proportional to 33,611 and 70,459

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Solution

The third proportional to 33,611 and 70,459 is: 147,703.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,611 : 70,459 = 70,459 : x
  2. Step 2: Convert to fraction form
    33,611/70,459 = 70,459/x
  3. Step 3: Cross multiply
    33,611x = 70,459 × 70,459
  4. Step 4: Simplify right side
    33,611x = 4,964,470,681
  5. Step 5: Solve for x
    x = 4,964,470,681/33,611
  6. Step 6: Final answer
    x = 147,703.75

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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.