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Finding the Third Proportional to 33,566.91 and 73,125.28

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Solution

The third proportional to 33,566.91 and 73,125.28 is: 159,302.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,566.91 : 73,125.28 = 73,125.28 : x
  2. Step 2: Convert to fraction form
    33,566.91/73,125.28 = 73,125.28/x
  3. Step 3: Cross multiply
    33,566.91x = 73,125.28 × 73,125.28
  4. Step 4: Simplify right side
    33,566.91x = 5,347,306,757.89
  5. Step 5: Solve for x
    x = 5,347,306,757.89/33,566.91
  6. Step 6: Final answer
    x = 159,302.94

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.