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Finding the Third Proportional to 10,367.37 and 15,636.97

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Solution

The third proportional to 10,367.37 and 15,636.97 is: 23,585.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.37 : 15,636.97 = 15,636.97 : x
  2. Step 2: Convert to fraction form
    10,367.37/15,636.97 = 15,636.97/x
  3. Step 3: Cross multiply
    10,367.37x = 15,636.97 × 15,636.97
  4. Step 4: Simplify right side
    10,367.37x = 244,514,913.85
  5. Step 5: Solve for x
    x = 244,514,913.85/10,367.37
  6. Step 6: Final answer
    x = 23,585.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.