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Finding the Third Proportional to 20,729.50 and 31,267.50

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Solution

The third proportional to 20,729.50 and 31,267.50 is: 47,162.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,729.50 : 31,267.50 = 31,267.50 : x
  2. Step 2: Convert to fraction form
    20,729.50/31,267.50 = 31,267.50/x
  3. Step 3: Cross multiply
    20,729.50x = 31,267.50 × 31,267.50
  4. Step 4: Simplify right side
    20,729.50x = 977,656,556.25
  5. Step 5: Solve for x
    x = 977,656,556.25/20,729.50
  6. Step 6: Final answer
    x = 47,162.57

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