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Finding the Third Proportional to 33,042 and 72,348

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Solution

The third proportional to 33,042 and 72,348 is: 158,411.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,042 : 72,348 = 72,348 : x
  2. Step 2: Convert to fraction form
    33,042/72,348 = 72,348/x
  3. Step 3: Cross multiply
    33,042x = 72,348 × 72,348
  4. Step 4: Simplify right side
    33,042x = 5,234,233,104
  5. Step 5: Solve for x
    x = 5,234,233,104/33,042
  6. Step 6: Final answer
    x = 158,411.51

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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.