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Finding the Third Proportional to 33,779.50 and 73,328

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Solution

The third proportional to 33,779.50 and 73,328 is: 159,179.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,779.50 : 73,328 = 73,328 : x
  2. Step 2: Convert to fraction form
    33,779.50/73,328 = 73,328/x
  3. Step 3: Cross multiply
    33,779.50x = 73,328 × 73,328
  4. Step 4: Simplify right side
    33,779.50x = 5,376,995,584
  5. Step 5: Solve for x
    x = 5,376,995,584/33,779.50
  6. Step 6: Final answer
    x = 159,179.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.