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Finding the Third Proportional to 9,411 and 12,493

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Solution

The third proportional to 9,411 and 12,493 is: 16,584.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,411 : 12,493 = 12,493 : x
  2. Step 2: Convert to fraction form
    9,411/12,493 = 12,493/x
  3. Step 3: Cross multiply
    9,411x = 12,493 × 12,493
  4. Step 4: Simplify right side
    9,411x = 156,075,049
  5. Step 5: Solve for x
    x = 156,075,049/9,411
  6. Step 6: Final answer
    x = 16,584.32

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.