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Finding the Third Proportional to 21,191 and 46,039

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Solution

The third proportional to 21,191 and 46,039 is: 100,023.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,191 : 46,039 = 46,039 : x
  2. Step 2: Convert to fraction form
    21,191/46,039 = 46,039/x
  3. Step 3: Cross multiply
    21,191x = 46,039 × 46,039
  4. Step 4: Simplify right side
    21,191x = 2,119,589,521
  5. Step 5: Solve for x
    x = 2,119,589,521/21,191
  6. Step 6: Final answer
    x = 100,023.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.