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Finding the Third Proportional to 21,677 and 46,588

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Solution

The third proportional to 21,677 and 46,588 is: 100,126.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,677 : 46,588 = 46,588 : x
  2. Step 2: Convert to fraction form
    21,677/46,588 = 46,588/x
  3. Step 3: Cross multiply
    21,677x = 46,588 × 46,588
  4. Step 4: Simplify right side
    21,677x = 2,170,441,744
  5. Step 5: Solve for x
    x = 2,170,441,744/21,677
  6. Step 6: Final answer
    x = 100,126.48

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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.