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Finding the Third Proportional to 27,440 and 41,042

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Solution

The third proportional to 27,440 and 41,042 is: 61,386.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,440 : 41,042 = 41,042 : x
  2. Step 2: Convert to fraction form
    27,440/41,042 = 41,042/x
  3. Step 3: Cross multiply
    27,440x = 41,042 × 41,042
  4. Step 4: Simplify right side
    27,440x = 1,684,445,764
  5. Step 5: Solve for x
    x = 1,684,445,764/27,440
  6. Step 6: Final answer
    x = 61,386.51

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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.