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Finding the Third Proportional to 11,323.13 and 16,755.19

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Solution

The third proportional to 11,323.13 and 16,755.19 is: 24,793.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,323.13 : 16,755.19 = 16,755.19 : x
  2. Step 2: Convert to fraction form
    11,323.13/16,755.19 = 16,755.19/x
  3. Step 3: Cross multiply
    11,323.13x = 16,755.19 × 16,755.19
  4. Step 4: Simplify right side
    11,323.13x = 280,736,308.16
  5. Step 5: Solve for x
    x = 280,736,308.16/11,323.13
  6. Step 6: Final answer
    x = 24,793.18

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.