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Finding the Third Proportional to 35,102.25 and 82,865.25

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Solution

The third proportional to 35,102.25 and 82,865.25 is: 195,618.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,102.25 : 82,865.25 = 82,865.25 : x
  2. Step 2: Convert to fraction form
    35,102.25/82,865.25 = 82,865.25/x
  3. Step 3: Cross multiply
    35,102.25x = 82,865.25 × 82,865.25
  4. Step 4: Simplify right side
    35,102.25x = 6,866,649,657.56
  5. Step 5: Solve for x
    x = 6,866,649,657.56/35,102.25
  6. Step 6: Final answer
    x = 195,618.50

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.