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Finding the Third Proportional to 43,638.25 and 95,052.25

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Solution

The third proportional to 43,638.25 and 95,052.25 is: 207,041.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,638.25 : 95,052.25 = 95,052.25 : x
  2. Step 2: Convert to fraction form
    43,638.25/95,052.25 = 95,052.25/x
  3. Step 3: Cross multiply
    43,638.25x = 95,052.25 × 95,052.25
  4. Step 4: Simplify right side
    43,638.25x = 9,034,930,230.06
  5. Step 5: Solve for x
    x = 9,034,930,230.06/43,638.25
  6. Step 6: Final answer
    x = 207,041.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.