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Finding the Third Proportional to 26,471 and 58,129

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Solution

The third proportional to 26,471 and 58,129 is: 127,648.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,471 : 58,129 = 58,129 : x
  2. Step 2: Convert to fraction form
    26,471/58,129 = 58,129/x
  3. Step 3: Cross multiply
    26,471x = 58,129 × 58,129
  4. Step 4: Simplify right side
    26,471x = 3,378,980,641
  5. Step 5: Solve for x
    x = 3,378,980,641/26,471
  6. Step 6: Final answer
    x = 127,648.39

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.