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Finding the Third Proportional to 27,127.50 and 41,999.25

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Solution

The third proportional to 27,127.50 and 41,999.25 is: 65,023.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,127.50 : 41,999.25 = 41,999.25 : x
  2. Step 2: Convert to fraction form
    27,127.50/41,999.25 = 41,999.25/x
  3. Step 3: Cross multiply
    27,127.50x = 41,999.25 × 41,999.25
  4. Step 4: Simplify right side
    27,127.50x = 1,763,937,000.56
  5. Step 5: Solve for x
    x = 1,763,937,000.56/27,127.50
  6. Step 6: Final answer
    x = 65,023.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.