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Finding the Third Proportional to 37,543.50 and 87,297.75

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Solution

The third proportional to 37,543.50 and 87,297.75 is: 202,988.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,543.50 : 87,297.75 = 87,297.75 : x
  2. Step 2: Convert to fraction form
    37,543.50/87,297.75 = 87,297.75/x
  3. Step 3: Cross multiply
    37,543.50x = 87,297.75 × 87,297.75
  4. Step 4: Simplify right side
    37,543.50x = 7,620,897,155.06
  5. Step 5: Solve for x
    x = 7,620,897,155.06/37,543.50
  6. Step 6: Final answer
    x = 202,988.46

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.