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Finding the Third Proportional to 11,274.19 and 16,341.75

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Solution

The third proportional to 11,274.19 and 16,341.75 is: 23,687.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,274.19 : 16,341.75 = 16,341.75 : x
  2. Step 2: Convert to fraction form
    11,274.19/16,341.75 = 16,341.75/x
  3. Step 3: Cross multiply
    11,274.19x = 16,341.75 × 16,341.75
  4. Step 4: Simplify right side
    11,274.19x = 267,052,793.06
  5. Step 5: Solve for x
    x = 267,052,793.06/11,274.19
  6. Step 6: Final answer
    x = 23,687.10

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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.