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Finding the Third Proportional to 20,107.50 and 31,867.50

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Solution

The third proportional to 20,107.50 and 31,867.50 is: 50,505.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,107.50 : 31,867.50 = 31,867.50 : x
  2. Step 2: Convert to fraction form
    20,107.50/31,867.50 = 31,867.50/x
  3. Step 3: Cross multiply
    20,107.50x = 31,867.50 × 31,867.50
  4. Step 4: Simplify right side
    20,107.50x = 1,015,537,556.25
  5. Step 5: Solve for x
    x = 1,015,537,556.25/20,107.50
  6. Step 6: Final answer
    x = 50,505.41

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.