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Finding the Third Proportional to 19,715 and 41,092

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Solution

The third proportional to 19,715 and 41,092 is: 85,648.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,715 : 41,092 = 41,092 : x
  2. Step 2: Convert to fraction form
    19,715/41,092 = 41,092/x
  3. Step 3: Cross multiply
    19,715x = 41,092 × 41,092
  4. Step 4: Simplify right side
    19,715x = 1,688,552,464
  5. Step 5: Solve for x
    x = 1,688,552,464/19,715
  6. Step 6: Final answer
    x = 85,648.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.