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Finding the Third Proportional to 33,815.25 and 72,321

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Solution

The third proportional to 33,815.25 and 72,321 is: 154,673.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,815.25 : 72,321 = 72,321 : x
  2. Step 2: Convert to fraction form
    33,815.25/72,321 = 72,321/x
  3. Step 3: Cross multiply
    33,815.25x = 72,321 × 72,321
  4. Step 4: Simplify right side
    33,815.25x = 5,230,327,041
  5. Step 5: Solve for x
    x = 5,230,327,041/33,815.25
  6. Step 6: Final answer
    x = 154,673.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.