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Finding the Third Proportional to 36,472.50 and 85,871.25

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Solution

The third proportional to 36,472.50 and 85,871.25 is: 202,176.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,472.50 : 85,871.25 = 85,871.25 : x
  2. Step 2: Convert to fraction form
    36,472.50/85,871.25 = 85,871.25/x
  3. Step 3: Cross multiply
    36,472.50x = 85,871.25 × 85,871.25
  4. Step 4: Simplify right side
    36,472.50x = 7,373,871,576.56
  5. Step 5: Solve for x
    x = 7,373,871,576.56/36,472.50
  6. Step 6: Final answer
    x = 202,176.20

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.