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Finding the Third Proportional to 34,824.94 and 54,029.53

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Solution

The third proportional to 34,824.94 and 54,029.53 is: 83,824.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,824.94 : 54,029.53 = 54,029.53 : x
  2. Step 2: Convert to fraction form
    34,824.94/54,029.53 = 54,029.53/x
  3. Step 3: Cross multiply
    34,824.94x = 54,029.53 × 54,029.53
  4. Step 4: Simplify right side
    34,824.94x = 2,919,190,247.09
  5. Step 5: Solve for x
    x = 2,919,190,247.09/34,824.94
  6. Step 6: Final answer
    x = 83,824.71

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Why These Related Problems?

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