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Finding the Third Proportional to 9,911 and 17,614

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Solution

The third proportional to 9,911 and 17,614 is: 31,303.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,911 : 17,614 = 17,614 : x
  2. Step 2: Convert to fraction form
    9,911/17,614 = 17,614/x
  3. Step 3: Cross multiply
    9,911x = 17,614 × 17,614
  4. Step 4: Simplify right side
    9,911x = 310,252,996
  5. Step 5: Solve for x
    x = 310,252,996/9,911
  6. Step 6: Final answer
    x = 31,303.90

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.