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Finding the Third Proportional to 19,672 and 31,092

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Solution

The third proportional to 19,672 and 31,092 is: 49,141.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,672 : 31,092 = 31,092 : x
  2. Step 2: Convert to fraction form
    19,672/31,092 = 31,092/x
  3. Step 3: Cross multiply
    19,672x = 31,092 × 31,092
  4. Step 4: Simplify right side
    19,672x = 966,712,464
  5. Step 5: Solve for x
    x = 966,712,464/19,672
  6. Step 6: Final answer
    x = 49,141.54

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.