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Finding the Third Proportional to 27,546 and 56,544

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Solution

The third proportional to 27,546 and 56,544 is: 116,068.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,546 : 56,544 = 56,544 : x
  2. Step 2: Convert to fraction form
    27,546/56,544 = 56,544/x
  3. Step 3: Cross multiply
    27,546x = 56,544 × 56,544
  4. Step 4: Simplify right side
    27,546x = 3,197,223,936
  5. Step 5: Solve for x
    x = 3,197,223,936/27,546
  6. Step 6: Final answer
    x = 116,068.54

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.