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Finding the Third Proportional to 11,352 and 16,416

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Solution

The third proportional to 11,352 and 16,416 is: 23,738.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,352 : 16,416 = 16,416 : x
  2. Step 2: Convert to fraction form
    11,352/16,416 = 16,416/x
  3. Step 3: Cross multiply
    11,352x = 16,416 × 16,416
  4. Step 4: Simplify right side
    11,352x = 269,485,056
  5. Step 5: Solve for x
    x = 269,485,056/11,352
  6. Step 6: Final answer
    x = 23,738.99

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.