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Finding the Third Proportional to 26,422 and 58,036

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Solution

The third proportional to 26,422 and 58,036 is: 127,476.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,422 : 58,036 = 58,036 : x
  2. Step 2: Convert to fraction form
    26,422/58,036 = 58,036/x
  3. Step 3: Cross multiply
    26,422x = 58,036 × 58,036
  4. Step 4: Simplify right side
    26,422x = 3,368,177,296
  5. Step 5: Solve for x
    x = 3,368,177,296/26,422
  6. Step 6: Final answer
    x = 127,476.24

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Why These Related Problems?

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