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Finding the Third Proportional to 33,382 and 71,964

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Solution

The third proportional to 33,382 and 71,964 is: 155,138.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,382 : 71,964 = 71,964 : x
  2. Step 2: Convert to fraction form
    33,382/71,964 = 71,964/x
  3. Step 3: Cross multiply
    33,382x = 71,964 × 71,964
  4. Step 4: Simplify right side
    33,382x = 5,178,817,296
  5. Step 5: Solve for x
    x = 5,178,817,296/33,382
  6. Step 6: Final answer
    x = 155,138.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.