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Finding the Third Proportional to 26,422.88 and 41,256

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Solution

The third proportional to 26,422.88 and 41,256 is: 64,416.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,422.88 : 41,256 = 41,256 : x
  2. Step 2: Convert to fraction form
    26,422.88/41,256 = 41,256/x
  3. Step 3: Cross multiply
    26,422.88x = 41,256 × 41,256
  4. Step 4: Simplify right side
    26,422.88x = 1,702,057,536
  5. Step 5: Solve for x
    x = 1,702,057,536/26,422.88
  6. Step 6: Final answer
    x = 64,416.06

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.