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Finding the Third Proportional to 20,756.50 and 31,350.75

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Solution

The third proportional to 20,756.50 and 31,350.75 is: 47,352.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,756.50 : 31,350.75 = 31,350.75 : x
  2. Step 2: Convert to fraction form
    20,756.50/31,350.75 = 31,350.75/x
  3. Step 3: Cross multiply
    20,756.50x = 31,350.75 × 31,350.75
  4. Step 4: Simplify right side
    20,756.50x = 982,869,525.56
  5. Step 5: Solve for x
    x = 982,869,525.56/20,756.50
  6. Step 6: Final answer
    x = 47,352.37

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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.