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Finding the Third Proportional to 20,092 and 28,702

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Solution

The third proportional to 20,092 and 28,702 is: 41,001.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,092 : 28,702 = 28,702 : x
  2. Step 2: Convert to fraction form
    20,092/28,702 = 28,702/x
  3. Step 3: Cross multiply
    20,092x = 28,702 × 28,702
  4. Step 4: Simplify right side
    20,092x = 823,804,804
  5. Step 5: Solve for x
    x = 823,804,804/20,092
  6. Step 6: Final answer
    x = 41,001.63

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.