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Finding the Third Proportional to 33,060 and 43,854

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Solution

The third proportional to 33,060 and 43,854 is: 58,172.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,060 : 43,854 = 43,854 : x
  2. Step 2: Convert to fraction form
    33,060/43,854 = 43,854/x
  3. Step 3: Cross multiply
    33,060x = 43,854 × 43,854
  4. Step 4: Simplify right side
    33,060x = 1,923,173,316
  5. Step 5: Solve for x
    x = 1,923,173,316/33,060
  6. Step 6: Final answer
    x = 58,172.21

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.