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Finding the Third Proportional to 10,100 and 16,791

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Solution

The third proportional to 10,100 and 16,791 is: 27,914.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,100 : 16,791 = 16,791 : x
  2. Step 2: Convert to fraction form
    10,100/16,791 = 16,791/x
  3. Step 3: Cross multiply
    10,100x = 16,791 × 16,791
  4. Step 4: Simplify right side
    10,100x = 281,937,681
  5. Step 5: Solve for x
    x = 281,937,681/10,100
  6. Step 6: Final answer
    x = 27,914.62

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.