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Finding the Third Proportional to 20,993 and 45,877

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Solution

The third proportional to 20,993 and 45,877 is: 100,257.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,993 : 45,877 = 45,877 : x
  2. Step 2: Convert to fraction form
    20,993/45,877 = 45,877/x
  3. Step 3: Cross multiply
    20,993x = 45,877 × 45,877
  4. Step 4: Simplify right side
    20,993x = 2,104,699,129
  5. Step 5: Solve for x
    x = 2,104,699,129/20,993
  6. Step 6: Final answer
    x = 100,257.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.