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Finding the Third Proportional to 26,153.75 and 33,580.63

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Solution

The third proportional to 26,153.75 and 33,580.63 is: 43,116.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,153.75 : 33,580.63 = 33,580.63 : x
  2. Step 2: Convert to fraction form
    26,153.75/33,580.63 = 33,580.63/x
  3. Step 3: Cross multiply
    26,153.75x = 33,580.63 × 33,580.63
  4. Step 4: Simplify right side
    26,153.75x = 1,127,658,375.39
  5. Step 5: Solve for x
    x = 1,127,658,375.39/26,153.75
  6. Step 6: Final answer
    x = 43,116.51

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.