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Finding the Third Proportional to 36,470.25 and 85,865.63

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Solution

The third proportional to 36,470.25 and 85,865.63 is: 202,162.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,470.25 : 85,865.63 = 85,865.63 : x
  2. Step 2: Convert to fraction form
    36,470.25/85,865.63 = 85,865.63/x
  3. Step 3: Cross multiply
    36,470.25x = 85,865.63 × 85,865.63
  4. Step 4: Simplify right side
    36,470.25x = 7,372,905,556.64
  5. Step 5: Solve for x
    x = 7,372,905,556.64/36,470.25
  6. Step 6: Final answer
    x = 202,162.19

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.