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Finding the Third Proportional to 11,269.13 and 16,104.45

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Solution

The third proportional to 11,269.13 and 16,104.45 is: 23,014.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,269.13 : 16,104.45 = 16,104.45 : x
  2. Step 2: Convert to fraction form
    11,269.13/16,104.45 = 16,104.45/x
  3. Step 3: Cross multiply
    11,269.13x = 16,104.45 × 16,104.45
  4. Step 4: Simplify right side
    11,269.13x = 259,353,158.82
  5. Step 5: Solve for x
    x = 259,353,158.82/11,269.13
  6. Step 6: Final answer
    x = 23,014.49

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.