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Finding the Third Proportional to 43,638.75 and 95,053.50

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Solution

The third proportional to 43,638.75 and 95,053.50 is: 207,044.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,638.75 : 95,053.50 = 95,053.50 : x
  2. Step 2: Convert to fraction form
    43,638.75/95,053.50 = 95,053.50/x
  3. Step 3: Cross multiply
    43,638.75x = 95,053.50 × 95,053.50
  4. Step 4: Simplify right side
    43,638.75x = 9,035,167,862.25
  5. Step 5: Solve for x
    x = 9,035,167,862.25/43,638.75
  6. Step 6: Final answer
    x = 207,044.61

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