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Finding the Third Proportional to 27,969 and 41,574

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Solution

The third proportional to 27,969 and 41,574 is: 61,796.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,969 : 41,574 = 41,574 : x
  2. Step 2: Convert to fraction form
    27,969/41,574 = 41,574/x
  3. Step 3: Cross multiply
    27,969x = 41,574 × 41,574
  4. Step 4: Simplify right side
    27,969x = 1,728,397,476
  5. Step 5: Solve for x
    x = 1,728,397,476/27,969
  6. Step 6: Final answer
    x = 61,796.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.