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Finding the Third Proportional to 20,487 and 31,277.25

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Solution

The third proportional to 20,487 and 31,277.25 is: 47,750.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,487 : 31,277.25 = 31,277.25 : x
  2. Step 2: Convert to fraction form
    20,487/31,277.25 = 31,277.25/x
  3. Step 3: Cross multiply
    20,487x = 31,277.25 × 31,277.25
  4. Step 4: Simplify right side
    20,487x = 978,266,367.56
  5. Step 5: Solve for x
    x = 978,266,367.56/20,487
  6. Step 6: Final answer
    x = 47,750.59

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.