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Finding the Third Proportional to 21,877 and 46,866

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Solution

The third proportional to 21,877 and 46,866 is: 100,398.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,877 : 46,866 = 46,866 : x
  2. Step 2: Convert to fraction form
    21,877/46,866 = 46,866/x
  3. Step 3: Cross multiply
    21,877x = 46,866 × 46,866
  4. Step 4: Simplify right side
    21,877x = 2,196,421,956
  5. Step 5: Solve for x
    x = 2,196,421,956/21,877
  6. Step 6: Final answer
    x = 100,398.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.