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Finding the Third Proportional to 33,446.25 and 71,561.81

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Solution

The third proportional to 33,446.25 and 71,561.81 is: 153,114.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,446.25 : 71,561.81 = 71,561.81 : x
  2. Step 2: Convert to fraction form
    33,446.25/71,561.81 = 71,561.81/x
  3. Step 3: Cross multiply
    33,446.25x = 71,561.81 × 71,561.81
  4. Step 4: Simplify right side
    33,446.25x = 5,121,093,008.29
  5. Step 5: Solve for x
    x = 5,121,093,008.29/33,446.25
  6. Step 6: Final answer
    x = 153,114.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.