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Finding the Third Proportional to 11,394 and 13,614.75

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Solution

The third proportional to 11,394 and 13,614.75 is: 16,268.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,394 : 13,614.75 = 13,614.75 : x
  2. Step 2: Convert to fraction form
    11,394/13,614.75 = 13,614.75/x
  3. Step 3: Cross multiply
    11,394x = 13,614.75 × 13,614.75
  4. Step 4: Simplify right side
    11,394x = 185,361,417.56
  5. Step 5: Solve for x
    x = 185,361,417.56/11,394
  6. Step 6: Final answer
    x = 16,268.34

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.