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Finding the Third Proportional to 33,292.88 and 71,526.75

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Solution

The third proportional to 33,292.88 and 71,526.75 is: 153,668.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,292.88 : 71,526.75 = 71,526.75 : x
  2. Step 2: Convert to fraction form
    33,292.88/71,526.75 = 71,526.75/x
  3. Step 3: Cross multiply
    33,292.88x = 71,526.75 × 71,526.75
  4. Step 4: Simplify right side
    33,292.88x = 5,116,075,965.56
  5. Step 5: Solve for x
    x = 5,116,075,965.56/33,292.88
  6. Step 6: Final answer
    x = 153,668.79

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.