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Finding the Third Proportional to 33,730 and 74,021

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Solution

The third proportional to 33,730 and 74,021 is: 162,440.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,730 : 74,021 = 74,021 : x
  2. Step 2: Convert to fraction form
    33,730/74,021 = 74,021/x
  3. Step 3: Cross multiply
    33,730x = 74,021 × 74,021
  4. Step 4: Simplify right side
    33,730x = 5,479,108,441
  5. Step 5: Solve for x
    x = 5,479,108,441/33,730
  6. Step 6: Final answer
    x = 162,440.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.