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Finding the Third Proportional to 11,679.19 and 23,586.19

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Solution

The third proportional to 11,679.19 and 23,586.19 is: 47,632.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,679.19 : 23,586.19 = 23,586.19 : x
  2. Step 2: Convert to fraction form
    11,679.19/23,586.19 = 23,586.19/x
  3. Step 3: Cross multiply
    11,679.19x = 23,586.19 × 23,586.19
  4. Step 4: Simplify right side
    11,679.19x = 556,308,240.79
  5. Step 5: Solve for x
    x = 556,308,240.79/11,679.19
  6. Step 6: Final answer
    x = 47,632.44

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.