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Finding the Third Proportional to 10,866.19 and 23,806.31

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Solution

The third proportional to 10,866.19 and 23,806.31 is: 52,156.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,866.19 : 23,806.31 = 23,806.31 : x
  2. Step 2: Convert to fraction form
    10,866.19/23,806.31 = 23,806.31/x
  3. Step 3: Cross multiply
    10,866.19x = 23,806.31 × 23,806.31
  4. Step 4: Simplify right side
    10,866.19x = 566,740,514.85
  5. Step 5: Solve for x
    x = 566,740,514.85/10,866.19
  6. Step 6: Final answer
    x = 52,156.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.