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Finding the Third Proportional to 21,519 and 46,437

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Solution

The third proportional to 21,519 and 46,437 is: 100,208.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,519 : 46,437 = 46,437 : x
  2. Step 2: Convert to fraction form
    21,519/46,437 = 46,437/x
  3. Step 3: Cross multiply
    21,519x = 46,437 × 46,437
  4. Step 4: Simplify right side
    21,519x = 2,156,394,969
  5. Step 5: Solve for x
    x = 2,156,394,969/21,519
  6. Step 6: Final answer
    x = 100,208.88

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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.