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Finding the Third Proportional to 34,832.53 and 76,339.97

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Solution

The third proportional to 34,832.53 and 76,339.97 is: 167,308.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,832.53 : 76,339.97 = 76,339.97 : x
  2. Step 2: Convert to fraction form
    34,832.53/76,339.97 = 76,339.97/x
  3. Step 3: Cross multiply
    34,832.53x = 76,339.97 × 76,339.97
  4. Step 4: Simplify right side
    34,832.53x = 5,827,790,828.75
  5. Step 5: Solve for x
    x = 5,827,790,828.75/34,832.53
  6. Step 6: Final answer
    x = 167,308.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.