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Finding the Third Proportional to 20,127.50 and 47,359.25

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Solution

The third proportional to 20,127.50 and 47,359.25 is: 111,434.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,127.50 : 47,359.25 = 47,359.25 : x
  2. Step 2: Convert to fraction form
    20,127.50/47,359.25 = 47,359.25/x
  3. Step 3: Cross multiply
    20,127.50x = 47,359.25 × 47,359.25
  4. Step 4: Simplify right side
    20,127.50x = 2,242,898,560.56
  5. Step 5: Solve for x
    x = 2,242,898,560.56/20,127.50
  6. Step 6: Final answer
    x = 111,434.53

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.