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Finding the Third Proportional to 39,652.50 and 52,863

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Solution

The third proportional to 39,652.50 and 52,863 is: 70,474.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,652.50 : 52,863 = 52,863 : x
  2. Step 2: Convert to fraction form
    39,652.50/52,863 = 52,863/x
  3. Step 3: Cross multiply
    39,652.50x = 52,863 × 52,863
  4. Step 4: Simplify right side
    39,652.50x = 2,794,496,769
  5. Step 5: Solve for x
    x = 2,794,496,769/39,652.50
  6. Step 6: Final answer
    x = 70,474.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.