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Finding the Third Proportional to 26,642 and 38,489.75

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Solution

The third proportional to 26,642 and 38,489.75 is: 55,606.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,642 : 38,489.75 = 38,489.75 : x
  2. Step 2: Convert to fraction form
    26,642/38,489.75 = 38,489.75/x
  3. Step 3: Cross multiply
    26,642x = 38,489.75 × 38,489.75
  4. Step 4: Simplify right side
    26,642x = 1,481,460,855.06
  5. Step 5: Solve for x
    x = 1,481,460,855.06/26,642
  6. Step 6: Final answer
    x = 55,606.22

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.