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Finding the Third Proportional to 11,517.19 and 16,293.66

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Solution

The third proportional to 11,517.19 and 16,293.66 is: 23,051.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,517.19 : 16,293.66 = 16,293.66 : x
  2. Step 2: Convert to fraction form
    11,517.19/16,293.66 = 16,293.66/x
  3. Step 3: Cross multiply
    11,517.19x = 16,293.66 × 16,293.66
  4. Step 4: Simplify right side
    11,517.19x = 265,483,233.99
  5. Step 5: Solve for x
    x = 265,483,233.99/11,517.19
  6. Step 6: Final answer
    x = 23,051.05

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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.