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Finding the Third Proportional to 33,572 and 45,165

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Solution

The third proportional to 33,572 and 45,165 is: 60,761.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,572 : 45,165 = 45,165 : x
  2. Step 2: Convert to fraction form
    33,572/45,165 = 45,165/x
  3. Step 3: Cross multiply
    33,572x = 45,165 × 45,165
  4. Step 4: Simplify right side
    33,572x = 2,039,877,225
  5. Step 5: Solve for x
    x = 2,039,877,225/33,572
  6. Step 6: Final answer
    x = 60,761.27

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.