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Finding the Third Proportional to 36,813 and 57,325.50

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Solution

The third proportional to 36,813 and 57,325.50 is: 89,267.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,813 : 57,325.50 = 57,325.50 : x
  2. Step 2: Convert to fraction form
    36,813/57,325.50 = 57,325.50/x
  3. Step 3: Cross multiply
    36,813x = 57,325.50 × 57,325.50
  4. Step 4: Simplify right side
    36,813x = 3,286,212,950.25
  5. Step 5: Solve for x
    x = 3,286,212,950.25/36,813
  6. Step 6: Final answer
    x = 89,267.73

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.