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Finding the Third Proportional to 26,749 and 56,954

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Solution

The third proportional to 26,749 and 56,954 is: 121,266.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,749 : 56,954 = 56,954 : x
  2. Step 2: Convert to fraction form
    26,749/56,954 = 56,954/x
  3. Step 3: Cross multiply
    26,749x = 56,954 × 56,954
  4. Step 4: Simplify right side
    26,749x = 3,243,758,116
  5. Step 5: Solve for x
    x = 3,243,758,116/26,749
  6. Step 6: Final answer
    x = 121,266.52

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.