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Finding the Third Proportional to 26,546 and 55,648

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Solution

The third proportional to 26,546 and 55,648 is: 116,654.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,546 : 55,648 = 55,648 : x
  2. Step 2: Convert to fraction form
    26,546/55,648 = 55,648/x
  3. Step 3: Cross multiply
    26,546x = 55,648 × 55,648
  4. Step 4: Simplify right side
    26,546x = 3,096,699,904
  5. Step 5: Solve for x
    x = 3,096,699,904/26,546
  6. Step 6: Final answer
    x = 116,654.11

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.