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Finding the Third Proportional to 21,614 and 46,562

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Solution

The third proportional to 21,614 and 46,562 is: 100,306.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,614 : 46,562 = 46,562 : x
  2. Step 2: Convert to fraction form
    21,614/46,562 = 46,562/x
  3. Step 3: Cross multiply
    21,614x = 46,562 × 46,562
  4. Step 4: Simplify right side
    21,614x = 2,168,019,844
  5. Step 5: Solve for x
    x = 2,168,019,844/21,614
  6. Step 6: Final answer
    x = 100,306.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.