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Finding the Third Proportional to 26,422 and 35,986

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Solution

The third proportional to 26,422 and 35,986 is: 49,011.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,422 : 35,986 = 35,986 : x
  2. Step 2: Convert to fraction form
    26,422/35,986 = 35,986/x
  3. Step 3: Cross multiply
    26,422x = 35,986 × 35,986
  4. Step 4: Simplify right side
    26,422x = 1,294,992,196
  5. Step 5: Solve for x
    x = 1,294,992,196/26,422
  6. Step 6: Final answer
    x = 49,011.89

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.