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Finding the Third Proportional to 12,534.43 and 26,119.65

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Solution

The third proportional to 12,534.43 and 26,119.65 is: 54,428.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,534.43 : 26,119.65 = 26,119.65 : x
  2. Step 2: Convert to fraction form
    12,534.43/26,119.65 = 26,119.65/x
  3. Step 3: Cross multiply
    12,534.43x = 26,119.65 × 26,119.65
  4. Step 4: Simplify right side
    12,534.43x = 682,236,238.56
  5. Step 5: Solve for x
    x = 682,236,238.56/12,534.43
  6. Step 6: Final answer
    x = 54,428.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.