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Finding the Third Proportional to 21,865 and 46,769

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Solution

The third proportional to 21,865 and 46,769 is: 100,038.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,865 : 46,769 = 46,769 : x
  2. Step 2: Convert to fraction form
    21,865/46,769 = 46,769/x
  3. Step 3: Cross multiply
    21,865x = 46,769 × 46,769
  4. Step 4: Simplify right side
    21,865x = 2,187,339,361
  5. Step 5: Solve for x
    x = 2,187,339,361/21,865
  6. Step 6: Final answer
    x = 100,038.39

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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.