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Finding the Third Proportional to 33,588 and 44,292

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Solution

The third proportional to 33,588 and 44,292 is: 58,407.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,588 : 44,292 = 44,292 : x
  2. Step 2: Convert to fraction form
    33,588/44,292 = 44,292/x
  3. Step 3: Cross multiply
    33,588x = 44,292 × 44,292
  4. Step 4: Simplify right side
    33,588x = 1,961,781,264
  5. Step 5: Solve for x
    x = 1,961,781,264/33,588
  6. Step 6: Final answer
    x = 58,407.21

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.