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Finding the Third Proportional to 20,602 and 31,927

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Solution

The third proportional to 20,602 and 31,927 is: 49,477.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,602 : 31,927 = 31,927 : x
  2. Step 2: Convert to fraction form
    20,602/31,927 = 31,927/x
  3. Step 3: Cross multiply
    20,602x = 31,927 × 31,927
  4. Step 4: Simplify right side
    20,602x = 1,019,333,329
  5. Step 5: Solve for x
    x = 1,019,333,329/20,602
  6. Step 6: Final answer
    x = 49,477.40

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.