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Finding the Third Proportional to 6,833.86 and 11,159.16

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Solution

The third proportional to 6,833.86 and 11,159.16 is: 18,222.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.86 : 11,159.16 = 11,159.16 : x
  2. Step 2: Convert to fraction form
    6,833.86/11,159.16 = 11,159.16/x
  3. Step 3: Cross multiply
    6,833.86x = 11,159.16 × 11,159.16
  4. Step 4: Simplify right side
    6,833.86x = 124,526,768.21
  5. Step 5: Solve for x
    x = 124,526,768.21/6,833.86
  6. Step 6: Final answer
    x = 18,222.03

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.