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Finding the Third Proportional to 36,658.50 and 73,885.50

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Solution

The third proportional to 36,658.50 and 73,885.50 is: 148,916.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,658.50 : 73,885.50 = 73,885.50 : x
  2. Step 2: Convert to fraction form
    36,658.50/73,885.50 = 73,885.50/x
  3. Step 3: Cross multiply
    36,658.50x = 73,885.50 × 73,885.50
  4. Step 4: Simplify right side
    36,658.50x = 5,459,067,110.25
  5. Step 5: Solve for x
    x = 5,459,067,110.25/36,658.50
  6. Step 6: Final answer
    x = 148,916.82

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These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.