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Finding the Third Proportional to 27,546.75 and 41,266.13

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Solution

The third proportional to 27,546.75 and 41,266.13 is: 61,818.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,546.75 : 41,266.13 = 41,266.13 : x
  2. Step 2: Convert to fraction form
    27,546.75/41,266.13 = 41,266.13/x
  3. Step 3: Cross multiply
    27,546.75x = 41,266.13 × 41,266.13
  4. Step 4: Simplify right side
    27,546.75x = 1,702,893,072.52
  5. Step 5: Solve for x
    x = 1,702,893,072.52/27,546.75
  6. Step 6: Final answer
    x = 61,818.29

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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.