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Finding the Third Proportional to 10,911 and 16,791

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Solution

The third proportional to 10,911 and 16,791 is: 25,839.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,911 : 16,791 = 16,791 : x
  2. Step 2: Convert to fraction form
    10,911/16,791 = 16,791/x
  3. Step 3: Cross multiply
    10,911x = 16,791 × 16,791
  4. Step 4: Simplify right side
    10,911x = 281,937,681
  5. Step 5: Solve for x
    x = 281,937,681/10,911
  6. Step 6: Final answer
    x = 25,839.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.