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Finding the Third Proportional to 11,157.75 and 16,367.06

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Solution

The third proportional to 11,157.75 and 16,367.06 is: 24,008.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,157.75 : 16,367.06 = 16,367.06 : x
  2. Step 2: Convert to fraction form
    11,157.75/16,367.06 = 16,367.06/x
  3. Step 3: Cross multiply
    11,157.75x = 16,367.06 × 16,367.06
  4. Step 4: Simplify right side
    11,157.75x = 267,880,734.88
  5. Step 5: Solve for x
    x = 267,880,734.88/11,157.75
  6. Step 6: Final answer
    x = 24,008.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.