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Finding the Third Proportional to 14,027.55 and 19,486.51

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Solution

The third proportional to 14,027.55 and 19,486.51 is: 27,069.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,027.55 : 19,486.51 = 19,486.51 : x
  2. Step 2: Convert to fraction form
    14,027.55/19,486.51 = 19,486.51/x
  3. Step 3: Cross multiply
    14,027.55x = 19,486.51 × 19,486.51
  4. Step 4: Simplify right side
    14,027.55x = 379,724,138.96
  5. Step 5: Solve for x
    x = 379,724,138.96/14,027.55
  6. Step 6: Final answer
    x = 27,069.87

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.