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Finding the Third Proportional to 43,076.25 and 66,195

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Solution

The third proportional to 43,076.25 and 66,195 is: 101,721.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,076.25 : 66,195 = 66,195 : x
  2. Step 2: Convert to fraction form
    43,076.25/66,195 = 66,195/x
  3. Step 3: Cross multiply
    43,076.25x = 66,195 × 66,195
  4. Step 4: Simplify right side
    43,076.25x = 4,381,778,025
  5. Step 5: Solve for x
    x = 4,381,778,025/43,076.25
  6. Step 6: Final answer
    x = 101,721.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.