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Finding the Third Proportional to 33,328 and 72,488

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Solution

The third proportional to 33,328 and 72,488 is: 157,660.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,328 : 72,488 = 72,488 : x
  2. Step 2: Convert to fraction form
    33,328/72,488 = 72,488/x
  3. Step 3: Cross multiply
    33,328x = 72,488 × 72,488
  4. Step 4: Simplify right side
    33,328x = 5,254,510,144
  5. Step 5: Solve for x
    x = 5,254,510,144/33,328
  6. Step 6: Final answer
    x = 157,660.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.