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Finding the Third Proportional to 20,732.50 and 31,202.75

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Solution

The third proportional to 20,732.50 and 31,202.75 is: 46,960.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,732.50 : 31,202.75 = 31,202.75 : x
  2. Step 2: Convert to fraction form
    20,732.50/31,202.75 = 31,202.75/x
  3. Step 3: Cross multiply
    20,732.50x = 31,202.75 × 31,202.75
  4. Step 4: Simplify right side
    20,732.50x = 973,611,607.56
  5. Step 5: Solve for x
    x = 973,611,607.56/20,732.50
  6. Step 6: Final answer
    x = 46,960.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.