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Finding the Third Proportional to 10,652.50 and 20,211.50

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Solution

The third proportional to 10,652.50 and 20,211.50 is: 38,348.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,652.50 : 20,211.50 = 20,211.50 : x
  2. Step 2: Convert to fraction form
    10,652.50/20,211.50 = 20,211.50/x
  3. Step 3: Cross multiply
    10,652.50x = 20,211.50 × 20,211.50
  4. Step 4: Simplify right side
    10,652.50x = 408,504,732.25
  5. Step 5: Solve for x
    x = 408,504,732.25/10,652.50
  6. Step 6: Final answer
    x = 38,348.25

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.