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Finding the Third Proportional to 23,042.50 and 34,775

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Solution

The third proportional to 23,042.50 and 34,775 is: 52,481.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,042.50 : 34,775 = 34,775 : x
  2. Step 2: Convert to fraction form
    23,042.50/34,775 = 34,775/x
  3. Step 3: Cross multiply
    23,042.50x = 34,775 × 34,775
  4. Step 4: Simplify right side
    23,042.50x = 1,209,300,625
  5. Step 5: Solve for x
    x = 1,209,300,625/23,042.50
  6. Step 6: Final answer
    x = 52,481.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.