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Finding the Third Proportional to 20,300.63 and 31,889.25

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Solution

The third proportional to 20,300.63 and 31,889.25 is: 50,093.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,300.63 : 31,889.25 = 31,889.25 : x
  2. Step 2: Convert to fraction form
    20,300.63/31,889.25 = 31,889.25/x
  3. Step 3: Cross multiply
    20,300.63x = 31,889.25 × 31,889.25
  4. Step 4: Simplify right side
    20,300.63x = 1,016,924,265.56
  5. Step 5: Solve for x
    x = 1,016,924,265.56/20,300.63
  6. Step 6: Final answer
    x = 50,093.25

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.