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Finding the Third Proportional to 27,172.50 and 57,292.50

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Solution

The third proportional to 27,172.50 and 57,292.50 is: 120,799.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,172.50 : 57,292.50 = 57,292.50 : x
  2. Step 2: Convert to fraction form
    27,172.50/57,292.50 = 57,292.50/x
  3. Step 3: Cross multiply
    27,172.50x = 57,292.50 × 57,292.50
  4. Step 4: Simplify right side
    27,172.50x = 3,282,430,556.25
  5. Step 5: Solve for x
    x = 3,282,430,556.25/27,172.50
  6. Step 6: Final answer
    x = 120,799.73

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.