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Finding the Third Proportional to 27,259 and 41,024

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Solution

The third proportional to 27,259 and 41,024 is: 61,739.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,259 : 41,024 = 41,024 : x
  2. Step 2: Convert to fraction form
    27,259/41,024 = 41,024/x
  3. Step 3: Cross multiply
    27,259x = 41,024 × 41,024
  4. Step 4: Simplify right side
    27,259x = 1,682,968,576
  5. Step 5: Solve for x
    x = 1,682,968,576/27,259
  6. Step 6: Final answer
    x = 61,739.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.