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Finding the Third Proportional to 20,889 and 31,077

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Solution

The third proportional to 20,889 and 31,077 is: 46,233.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,889 : 31,077 = 31,077 : x
  2. Step 2: Convert to fraction form
    20,889/31,077 = 31,077/x
  3. Step 3: Cross multiply
    20,889x = 31,077 × 31,077
  4. Step 4: Simplify right side
    20,889x = 965,779,929
  5. Step 5: Solve for x
    x = 965,779,929/20,889
  6. Step 6: Final answer
    x = 46,233.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.