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Finding the Third Proportional to 7,808.91 and 11,941.17

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Solution

The third proportional to 7,808.91 and 11,941.17 is: 18,260.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.91 : 11,941.17 = 11,941.17 : x
  2. Step 2: Convert to fraction form
    7,808.91/11,941.17 = 11,941.17/x
  3. Step 3: Cross multiply
    7,808.91x = 11,941.17 × 11,941.17
  4. Step 4: Simplify right side
    7,808.91x = 142,591,585.75
  5. Step 5: Solve for x
    x = 142,591,585.75/7,808.91
  6. Step 6: Final answer
    x = 18,260.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.