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Finding the Third Proportional to 27,417 and 41,014

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Solution

The third proportional to 27,417 and 41,014 is: 61,354.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,417 : 41,014 = 41,014 : x
  2. Step 2: Convert to fraction form
    27,417/41,014 = 41,014/x
  3. Step 3: Cross multiply
    27,417x = 41,014 × 41,014
  4. Step 4: Simplify right side
    27,417x = 1,682,148,196
  5. Step 5: Solve for x
    x = 1,682,148,196/27,417
  6. Step 6: Final answer
    x = 61,354.20

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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.