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Finding the Third Proportional to 12,814.45 and 26,263.22

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Solution

The third proportional to 12,814.45 and 26,263.22 is: 53,826.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814.45 : 26,263.22 = 26,263.22 : x
  2. Step 2: Convert to fraction form
    12,814.45/26,263.22 = 26,263.22/x
  3. Step 3: Cross multiply
    12,814.45x = 26,263.22 × 26,263.22
  4. Step 4: Simplify right side
    12,814.45x = 689,756,813.00
  5. Step 5: Solve for x
    x = 689,756,813.00/12,814.45
  6. Step 6: Final answer
    x = 53,826.47

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.