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Finding the Third Proportional to 26,537 and 55,954

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Solution

The third proportional to 26,537 and 55,954 is: 117,980.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,537 : 55,954 = 55,954 : x
  2. Step 2: Convert to fraction form
    26,537/55,954 = 55,954/x
  3. Step 3: Cross multiply
    26,537x = 55,954 × 55,954
  4. Step 4: Simplify right side
    26,537x = 3,130,850,116
  5. Step 5: Solve for x
    x = 3,130,850,116/26,537
  6. Step 6: Final answer
    x = 117,980.56

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.