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Finding the Third Proportional to 11,503.13 and 16,194.94

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Solution

The third proportional to 11,503.13 and 16,194.94 is: 22,800.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,503.13 : 16,194.94 = 16,194.94 : x
  2. Step 2: Convert to fraction form
    11,503.13/16,194.94 = 16,194.94/x
  3. Step 3: Cross multiply
    11,503.13x = 16,194.94 × 16,194.94
  4. Step 4: Simplify right side
    11,503.13x = 262,276,000.63
  5. Step 5: Solve for x
    x = 262,276,000.63/11,503.13
  6. Step 6: Final answer
    x = 22,800.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.