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Finding the Third Proportional to 18,928.69 and 26,542.69

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Solution

The third proportional to 18,928.69 and 26,542.69 is: 37,219.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,928.69 : 26,542.69 = 26,542.69 : x
  2. Step 2: Convert to fraction form
    18,928.69/26,542.69 = 26,542.69/x
  3. Step 3: Cross multiply
    18,928.69x = 26,542.69 × 26,542.69
  4. Step 4: Simplify right side
    18,928.69x = 704,514,259.72
  5. Step 5: Solve for x
    x = 704,514,259.72/18,928.69
  6. Step 6: Final answer
    x = 37,219.39

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.