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Finding the Third Proportional to 36,929.25 and 81,239.25

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Solution

The third proportional to 36,929.25 and 81,239.25 is: 178,715.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,929.25 : 81,239.25 = 81,239.25 : x
  2. Step 2: Convert to fraction form
    36,929.25/81,239.25 = 81,239.25/x
  3. Step 3: Cross multiply
    36,929.25x = 81,239.25 × 81,239.25
  4. Step 4: Simplify right side
    36,929.25x = 6,599,815,740.56
  5. Step 5: Solve for x
    x = 6,599,815,740.56/36,929.25
  6. Step 6: Final answer
    x = 178,715.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.