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Finding the Third Proportional to 27,242 and 41,026

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Solution

The third proportional to 27,242 and 41,026 is: 61,784.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,242 : 41,026 = 41,026 : x
  2. Step 2: Convert to fraction form
    27,242/41,026 = 41,026/x
  3. Step 3: Cross multiply
    27,242x = 41,026 × 41,026
  4. Step 4: Simplify right side
    27,242x = 1,683,132,676
  5. Step 5: Solve for x
    x = 1,683,132,676/27,242
  6. Step 6: Final answer
    x = 61,784.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.