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Finding the Third Proportional to 27,912.25 and 60,197.50

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Solution

The third proportional to 27,912.25 and 60,197.50 is: 129,826.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,912.25 : 60,197.50 = 60,197.50 : x
  2. Step 2: Convert to fraction form
    27,912.25/60,197.50 = 60,197.50/x
  3. Step 3: Cross multiply
    27,912.25x = 60,197.50 × 60,197.50
  4. Step 4: Simplify right side
    27,912.25x = 3,623,739,006.25
  5. Step 5: Solve for x
    x = 3,623,739,006.25/27,912.25
  6. Step 6: Final answer
    x = 129,826.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.