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Finding the Third Proportional to 27,202.50 and 41,609.25

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Solution

The third proportional to 27,202.50 and 41,609.25 is: 63,645.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,202.50 : 41,609.25 = 41,609.25 : x
  2. Step 2: Convert to fraction form
    27,202.50/41,609.25 = 41,609.25/x
  3. Step 3: Cross multiply
    27,202.50x = 41,609.25 × 41,609.25
  4. Step 4: Simplify right side
    27,202.50x = 1,731,329,685.56
  5. Step 5: Solve for x
    x = 1,731,329,685.56/27,202.50
  6. Step 6: Final answer
    x = 63,645.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.