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Finding the Third Proportional to 33,202 and 49,929

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Solution

The third proportional to 33,202 and 49,929 is: 75,082.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,202 : 49,929 = 49,929 : x
  2. Step 2: Convert to fraction form
    33,202/49,929 = 49,929/x
  3. Step 3: Cross multiply
    33,202x = 49,929 × 49,929
  4. Step 4: Simplify right side
    33,202x = 2,492,905,041
  5. Step 5: Solve for x
    x = 2,492,905,041/33,202
  6. Step 6: Final answer
    x = 75,082.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.