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Finding the Third Proportional to 33,805.88 and 72,302.25

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Solution

The third proportional to 33,805.88 and 72,302.25 is: 154,636.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,805.88 : 72,302.25 = 72,302.25 : x
  2. Step 2: Convert to fraction form
    33,805.88/72,302.25 = 72,302.25/x
  3. Step 3: Cross multiply
    33,805.88x = 72,302.25 × 72,302.25
  4. Step 4: Simplify right side
    33,805.88x = 5,227,615,355.06
  5. Step 5: Solve for x
    x = 5,227,615,355.06/33,805.88
  6. Step 6: Final answer
    x = 154,636.30

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