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Finding the Third Proportional to 35,203.50 and 43,131

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Solution

The third proportional to 35,203.50 and 43,131 is: 52,843.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,203.50 : 43,131 = 43,131 : x
  2. Step 2: Convert to fraction form
    35,203.50/43,131 = 43,131/x
  3. Step 3: Cross multiply
    35,203.50x = 43,131 × 43,131
  4. Step 4: Simplify right side
    35,203.50x = 1,860,283,161
  5. Step 5: Solve for x
    x = 1,860,283,161/35,203.50
  6. Step 6: Final answer
    x = 52,843.70

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.