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Finding the Third Proportional to 26,729 and 58,013

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Solution

The third proportional to 26,729 and 58,013 is: 125,912.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,729 : 58,013 = 58,013 : x
  2. Step 2: Convert to fraction form
    26,729/58,013 = 58,013/x
  3. Step 3: Cross multiply
    26,729x = 58,013 × 58,013
  4. Step 4: Simplify right side
    26,729x = 3,365,508,169
  5. Step 5: Solve for x
    x = 3,365,508,169/26,729
  6. Step 6: Final answer
    x = 125,912.24

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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.