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Finding the Third Proportional to 33,604 and 55,328

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Solution

The third proportional to 33,604 and 55,328 is: 91,095.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,604 : 55,328 = 55,328 : x
  2. Step 2: Convert to fraction form
    33,604/55,328 = 55,328/x
  3. Step 3: Cross multiply
    33,604x = 55,328 × 55,328
  4. Step 4: Simplify right side
    33,604x = 3,061,187,584
  5. Step 5: Solve for x
    x = 3,061,187,584/33,604
  6. Step 6: Final answer
    x = 91,095.93

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.