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Finding the Third Proportional to 33,024.38 and 51,156.56

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Solution

The third proportional to 33,024.38 and 51,156.56 is: 79,244.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,024.38 : 51,156.56 = 51,156.56 : x
  2. Step 2: Convert to fraction form
    33,024.38/51,156.56 = 51,156.56/x
  3. Step 3: Cross multiply
    33,024.38x = 51,156.56 × 51,156.56
  4. Step 4: Simplify right side
    33,024.38x = 2,616,993,886.82
  5. Step 5: Solve for x
    x = 2,616,993,886.82/33,024.38
  6. Step 6: Final answer
    x = 79,244.31

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.