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Finding the Third Proportional to 34,733.25 and 52,445.25

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Solution

The third proportional to 34,733.25 and 52,445.25 is: 79,189.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,733.25 : 52,445.25 = 52,445.25 : x
  2. Step 2: Convert to fraction form
    34,733.25/52,445.25 = 52,445.25/x
  3. Step 3: Cross multiply
    34,733.25x = 52,445.25 × 52,445.25
  4. Step 4: Simplify right side
    34,733.25x = 2,750,504,247.56
  5. Step 5: Solve for x
    x = 2,750,504,247.56/34,733.25
  6. Step 6: Final answer
    x = 79,189.37

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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.