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Finding the Third Proportional to 34,823.75 and 75,189

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Solution

The third proportional to 34,823.75 and 75,189 is: 162,342.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,823.75 : 75,189 = 75,189 : x
  2. Step 2: Convert to fraction form
    34,823.75/75,189 = 75,189/x
  3. Step 3: Cross multiply
    34,823.75x = 75,189 × 75,189
  4. Step 4: Simplify right side
    34,823.75x = 5,653,385,721
  5. Step 5: Solve for x
    x = 5,653,385,721/34,823.75
  6. Step 6: Final answer
    x = 162,342.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.