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Finding the Third Proportional to 21,189 and 45,863

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Solution

The third proportional to 21,189 and 45,863 is: 99,269.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,189 : 45,863 = 45,863 : x
  2. Step 2: Convert to fraction form
    21,189/45,863 = 45,863/x
  3. Step 3: Cross multiply
    21,189x = 45,863 × 45,863
  4. Step 4: Simplify right side
    21,189x = 2,103,414,769
  5. Step 5: Solve for x
    x = 2,103,414,769/21,189
  6. Step 6: Final answer
    x = 99,269.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.