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Finding the Third Proportional to 33,112.13 and 71,830.88

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Solution

The third proportional to 33,112.13 and 71,830.88 is: 155,824.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,112.13 : 71,830.88 = 71,830.88 : x
  2. Step 2: Convert to fraction form
    33,112.13/71,830.88 = 71,830.88/x
  3. Step 3: Cross multiply
    33,112.13x = 71,830.88 × 71,830.88
  4. Step 4: Simplify right side
    33,112.13x = 5,159,674,603.27
  5. Step 5: Solve for x
    x = 5,159,674,603.27/33,112.13
  6. Step 6: Final answer
    x = 155,824.33

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.