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Finding the Third Proportional to 9,540 and 11,484

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Solution

The third proportional to 9,540 and 11,484 is: 13,824.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,540 : 11,484 = 11,484 : x
  2. Step 2: Convert to fraction form
    9,540/11,484 = 11,484/x
  3. Step 3: Cross multiply
    9,540x = 11,484 × 11,484
  4. Step 4: Simplify right side
    9,540x = 131,882,256
  5. Step 5: Solve for x
    x = 131,882,256/9,540
  6. Step 6: Final answer
    x = 13,824.14

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.