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Finding the Third Proportional to 26,263.50 and 37,755

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Solution

The third proportional to 26,263.50 and 37,755 is: 54,274.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,263.50 : 37,755 = 37,755 : x
  2. Step 2: Convert to fraction form
    26,263.50/37,755 = 37,755/x
  3. Step 3: Cross multiply
    26,263.50x = 37,755 × 37,755
  4. Step 4: Simplify right side
    26,263.50x = 1,425,440,025
  5. Step 5: Solve for x
    x = 1,425,440,025/26,263.50
  6. Step 6: Final answer
    x = 54,274.56

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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.