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Finding the Third Proportional to 11,679.19 and 12,708.14

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Solution

The third proportional to 11,679.19 and 12,708.14 is: 13,827.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,679.19 : 12,708.14 = 12,708.14 : x
  2. Step 2: Convert to fraction form
    11,679.19/12,708.14 = 12,708.14/x
  3. Step 3: Cross multiply
    11,679.19x = 12,708.14 × 12,708.14
  4. Step 4: Simplify right side
    11,679.19x = 161,496,838.14
  5. Step 5: Solve for x
    x = 161,496,838.14/11,679.19
  6. Step 6: Final answer
    x = 13,827.75

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.