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Finding the Third Proportional to 13,677 and 21,761

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Solution

The third proportional to 13,677 and 21,761 is: 34,623.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,677 : 21,761 = 21,761 : x
  2. Step 2: Convert to fraction form
    13,677/21,761 = 21,761/x
  3. Step 3: Cross multiply
    13,677x = 21,761 × 21,761
  4. Step 4: Simplify right side
    13,677x = 473,541,121
  5. Step 5: Solve for x
    x = 473,541,121/13,677
  6. Step 6: Final answer
    x = 34,623.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.