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Finding the Third Proportional to 11,557.69 and 13,888.97

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Solution

The third proportional to 11,557.69 and 13,888.97 is: 16,690.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,557.69 : 13,888.97 = 13,888.97 : x
  2. Step 2: Convert to fraction form
    11,557.69/13,888.97 = 13,888.97/x
  3. Step 3: Cross multiply
    11,557.69x = 13,888.97 × 13,888.97
  4. Step 4: Simplify right side
    11,557.69x = 192,903,452.94
  5. Step 5: Solve for x
    x = 192,903,452.94/11,557.69
  6. Step 6: Final answer
    x = 16,690.49

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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.