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Finding the Third Proportional to 26,941.78 and 58,546.97

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Solution

The third proportional to 26,941.78 and 58,546.97 is: 127,227.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,941.78 : 58,546.97 = 58,546.97 : x
  2. Step 2: Convert to fraction form
    26,941.78/58,546.97 = 58,546.97/x
  3. Step 3: Cross multiply
    26,941.78x = 58,546.97 × 58,546.97
  4. Step 4: Simplify right side
    26,941.78x = 3,427,747,549.81
  5. Step 5: Solve for x
    x = 3,427,747,549.81/26,941.78
  6. Step 6: Final answer
    x = 127,227.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.