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Finding the Third Proportional to 19,826.44 and 26,913.94

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Solution

The third proportional to 19,826.44 and 26,913.94 is: 36,535.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,826.44 : 26,913.94 = 26,913.94 : x
  2. Step 2: Convert to fraction form
    19,826.44/26,913.94 = 26,913.94/x
  3. Step 3: Cross multiply
    19,826.44x = 26,913.94 × 26,913.94
  4. Step 4: Simplify right side
    19,826.44x = 724,360,031.75
  5. Step 5: Solve for x
    x = 724,360,031.75/19,826.44
  6. Step 6: Final answer
    x = 36,535.06

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.